Angular and Linear Seed Homework problems

This is a trial run of the Use of Formative.  We will all get better with it as we progress

Reminder: Arc length:  S=r\theta 
Area of sector:  A=\frac{1}{2} r2\theta
Angle rotation: /Theta = (#of revolutions)\times2\pi
Angular velocity:    \omega=\frac{\theta}{t}
Linear velocity: v=r\omega = r\frac{\theta}{t} =\frac{s}{t}

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A. Hugh Nokitov swings a stone in a 5-foot long sling at a rate of 2 revolutions per second. Find the angular and linear velocities of the stone.

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1. A wheel turns at the rate of 600 rpm. What is the angular speed of the wheel in radians per second?

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1. If the inner radius of a disk (point B) is 0.5 cm, the outer radius (point A) is 15 cm, and it rotates at 8 rpm, compare the linear velocities of points A and B.

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1. Martina Never-Turnover rides a bicycle with large tires of radius 16 in, at 24 mph. Find the angular speed of a tire in radians per minute. How many revolutions per minute does the tire make?

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1. Lawson D. Woods is sitting at a point on a wheel 16 feet from the center. The wheel moves through an angle of 275oin one minute. What is Lawson's linear speed in feet per second?

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1. If an engine is making 1000 rpm, what is the angular speed of the engine’s crankshaft in radians per second?

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1. The gear on a clock mechanism rotates 0.91 revolutions. Find the angular displacement in radians of a point on the gear.

1

A. Hugh Nokitov swings a stone in a 5-foot long sling at a rate of 2 revolutions per second. Find the angular and linear velocities of the stone.

1. A wheel turns at the rate of 600 rpm. What is the angular speed of the wheel in radians per second?

1. If the inner radius of a disk (point B) is 0.5 cm, the outer radius (point A) is 15 cm, and it rotates at 8 rpm, compare the linear velocities of points A and B.

1. Martina Never-Turnover rides a bicycle with large tires of radius 16 in, at 24 mph. Find the angular speed of a tire in radians per minute. How many revolutions per minute does the tire make?

1. Lawson D. Woods is sitting at a point on a wheel 16 feet from the center. The wheel moves through an angle of 275oin one minute. What is Lawson's linear speed in feet per second?

1. If an engine is making 1000 rpm, what is the angular speed of the engine’s crankshaft in radians per second?

1. The gear on a clock mechanism rotates 0.91 revolutions. Find the angular displacement in radians of a point on the gear.

Determine the number of revolutions per minute of a wheel with an angular speed of 151 radians/sec