Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?

Answers

Answer 1

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]


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Answers

The correct answer is f^-1(x)=1/2x+2.

1. Substitute y for f(x). ( y=2x+4 )

2. Interchange the variables x and y. ( x=2y-4 )

3. Swap the sides. ( 2y-4=x )

4. Move the constant to the right. ( 2y=x+4 )

5. Divide both sides by 2. ( y=1/2x+2 )

6. Use substitution to substitute f^-1(x) for y.

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Step-by-step explanation:

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= 4m² - 1.5m + 2 + 9m - 2m³ + 2m

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Attached image

Hey can you show us the answer choices? Also to solve your equation you have to find out your slope so you’d have to solve the question given to you.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Can it help you.

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Answers

Answer:

Step-by-step explanation:

y = 0.25x + 8

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Let's check every table if every point in them satisfies the equation y = 0.25x + 8,

Table 1:

To check if (0, 8) satisfies the given equation,

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This point satisfies the equation.

To check if (2, 8.25) satisfies the given equation,

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LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 2:

To check if (0, 0) satisfies the given equation,

RHS: 0.25 × 0 + 8 = 0 + 8 = 8

LHS: 0 ≠ RHS

This point does not satisfy the equation.

Table 3:

To check if (0, 8.25) satisfies the given equation,

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LHS: 8.25 ≠ RHS

This point does not satisfy the equation.

Table 4:

To check if (0, 8) satisfies the given equation,

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LHS: 8 = RHS

This point satisfies the equation.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

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                                         = 54 words per minute

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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