Physics College

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller?

Answers

Answer 1

The magnitude of the angular acceleration of the roller is approximately 104.2 rad/s^2.

The magnitude of the angular acceleration of the roller can be determined using the torque equation and Newton's second law for rotational motion.
Step 1: Calculate the moment of inertia of the roller.
The moment of inertia (I) of a solid cylinder is given by the formula I = (1/2) * m * r^2, where m is the mass of the object and r is the radius.
In this case, the mass of the roller is 2.4 kg and the radius is 0.038 m.
So, I = (1/2) * 2.4 kg * (0.038 m)^2.
Step 2: Calculate the torque applied to the roller.
Torque (τ) is equal to the force (F) applied multiplied by the perpendicular distance (r) from the axis of rotation.
In this case, the force applied by Joe is 16 N and the distance is equal to the radius of the roller, 0.038 m.
So, τ = F * r.
Step 3: Use the torque equation.
The torque applied to the roller causes an angular acceleration (α) according to the equation τ = I * α.
Rearranging the equation, we get α = τ / I.
Step 4: Substitute the values into the equation.
Using the values we calculated earlier, we can substitute them into the equation α = τ / I.
α = (16 N * 0.038 m) / [(1/2) * 2.4 kg * (0.038 m)^2].
Step 5: Calculate the magnitude of the angular acceleration.
Evaluating the expression, we find that the magnitude of the angular acceleration of the roller is approximately 104.2 rad/s^2.
for more questions on angular acceleration
https://brainly.com/question/21278452

#SPJ8

Related Questions

Other Questions
Use split function in python to create two list from list = "200 73.86 210 45.25 220 38.44". One list showing the whole number and the other the decimal amount.ex.whole = [200, 210, 220]decimal = [73.86, 45.25, 38.44] The following information was available for Anderson Company for the month ended March 31, 2019. (10 marks) a) The book balance at March 31,2019 was $3,790.22. b) The bank balance at March 31,2019 was $5,660.22. c) Outstanding cheques amounted to $6,310. d) The March 31 st cash receipts of $5,600 were deposited but have not yet appeared on the bank statement. e) A \$50 debit memorandum for cheques printed by the bank was included with the cancelled cheques. f) A customer's note for $1,000 was collected by the bank. In addition, interest on the note was $110. g) The bank incorrectly recorded a cheque payment of $1,600 as $1,500. Prepare a bank reconciliation for Anderson Company at March 31, 2019. What is the 1st evidence of continental drift? Marcel wants to become a licensed life insurance agent. However, he is concerned that because of his present occupation it may be considered as a conflict of interest. He does not want to go through the process of becoming a licensed agent simply to be rejected because of his current job. Which of the following types of employment are restricted (i.e., considered conflict of interest occupations) for life insurance agents? Select one: a. Statistician b. Mortgage broker c. Securities broker d. Clergy 1.What is the relationship between the marginal benefit, valueand demand of a good or service?2. What is consumer surplus? How is it measured? last year lana's income was $56300, the number of times she dined out was 60 and the average price of a meal was $20. this year her income totaled $58800, she dined out a total of 64 times and the average price of a meal was $23. what is lana's income elasticity of demand for dining out? moderate wind shear can lead to a thunderstorm tilting. this is important in the development of supercell thunderstorms because:a. the tilting leads to senescenceb. the areas of precipitation-induced downdrafting become separated from the areas of updraftingc. tilting leads to increased friction, thereby increased lightningd. tilting decreases the Vartunen effect A business executive has the option to invest money in two plans: Plan A guarantees that each dollar invested will earn 70 cents a year later, and plan B guarantees that each dollar invested will earn $2 after 2 years. In plan A, investments can be made annually, and in plan B, investments are allowed for periods that are multiples of two years only. How should the executive invest $100, 000 to maximize the earnings at the end of 3 years? Formulate a linear program and find the optimal solution. *** USING PYTHON CODE**** Which of the following is the proper designation for the pluripotential stem cell that is a precursor for both myeloid and lymphoid cell lines?A. CFU-SB. CFU-GEMMC. G-CSFD. CFU-GM A B C D Rolf added 20 g of solute to 100 g of water and mixed the solution. Rolf added 10 g of solute to 100 g of water and mixed the solution. Rolf added 65 g of solute to 100g of water, mixed the solution, and then heated the solution. Rolf added 7 g of solute to 100 g of water, mixed the solution, and then heated the solution. Which solution is unsaturated? O Solution A O Solution B O Solution C Solution D The solute in solution A has a solubility of 37 g/100 g HO at 20C. The solute in solution B has a solubility of 10 g/100 g HO at 20C. The solute in solution C has a solubility of 32 g/100 g HO at 20C The solute in solution D has a solubility of 4 g/100 g HO at 20C. cuicuilco and teotihuacan were rival city-states in the valley of mexico in conflict with one another when cuicuilco was destroyed by During the alarm reaction, adrenaline is secreted. True or False? 13. One criticism of Selye's general adaptation syndrome is that it does not acknowledge the important role of psychological factors in the stress response. True or False 14. When compared to Type B people, Type A people tend to be more hard-driving, ambitious and competitive. True or False? 15. What does hypertension mean? 16. Personality factors linked to hypertension include a tendency to suppress anger. True or False? 17. The existence of a strong family support network is not considered a source of stress for individuals with cancer. True or False? 18. Stress affects the immune system by suppressing it, causing the body to become more vulnerable to disease. True or False? 19. Compared to 1900, the rates of influenza and pneumonia decreased by 2012. True or False? 20. Hans Seyle's term for the body's three-stage response to stress is the general stress syndrome. True or False? 21. One of the GAS stages is an alarm reaction. True or False? 22. In the exhaustion stage of the general adaptation syndrome, your body continues to meet the demands of the stressor but with increasing stress on your system. True or False? 23. The fight-or-flight reaction is characterized by a high level of activity of the sympathetic nervous system. True or False? 24. The stage of the GAS characterized by a state of fatigue in which body tissues begin to show signs of wear and tear is the exhaustion stage. True or False? 25. One of the Type A traits that seems to play an especially important role in coronary heart disease is aggression. True or False? the center of the multicausation disease model is behavioral choices. true or false item2 20 points return to questionitem 2 using simple exponential smoothing and the following time series data, respond to each of the items. period demand 1 130 2 158 3 169 4 163 5 172 6 176 7 127 8 152 9 142 10 141 c. compute the mad 2. (P, 30%) Airlines often overbook flights nowadays. Suppose an airline has empirical data suggesting that 5% of passengers who make reservations on a certain flight would fail to show up. A flight holds 50 passengers, and the airline sells 52 tickets for each trip. Assuming independence for each passenger showing up.a) What is the probability that all the passenger who show up will have a seat?b) What is the mean and standard deviation of the number of the passengers will show up for each trip? Draw a logic circuit for (A+B)C 2) Draw a logic circuit for A+BC+D 3) Draw a logic circuit for AB+(AC) Your script should allow users to specify replacement directories for the default directories / dailyingest, / shortvideos, and / badfiles; if no replacements are specified as arguments, the defaults will be used. Your script should check that the target directories exist and can be written to. If a particular directory (such as /shortvideos/byReporter/Anne) doesn't exist yet, your script must create it first. Identify one real-world problem, for example like this --> "It is difficult to recruit good wait staff who provide the level of customer service to which we have become accustomed." Then, analyze the problem space by answering some questions such as What are the reasons for these problems? Design a conceptual model for your addressed problem. Unit test h(t)=(t+3)^(2)+5 Over which interval does h have a negative average rate of change? Choose 1 answer: Calculate the ROI of the training program on the new performance management system and make a reasonable interpretation of the ROI result. (10)You are required to calculate the yearly ROI for the training program on the new performance management system for 500 trainees using data related to the benefits and costs of the training. It is estimated that each trainee will save 1.90 hours of work per week as a result of the training program. The average hourly wage for each trainee is $ 19. Each month of work per trainee equals 4.2 weeks. Moreover, it is anticipated that the increase in quality of work as a result of the training program will equal $ 2300 per trainee per year. One trainer earning $35000 per year will be required to design , deliver and evaluate the training program. It is estimated that the opportunity cost of each trainee for attending the three hour training program will be $100 per hour. In addition, other costs that will be incurred as a result of designing and delivering the training program include trainee meals $ 2000, trainee materials $ 5000, and training evaluation cost $ 1000.