Uniform Circular Motion

Uniform Circular Motion

4th ESO

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Zach drives his car around a circular section of a road having a radius of 50 meters at a constant speed of 20 m/s. Calculate the centripetal (or normal) acceleration of Zach's car in m/s²

^{(you don't have to indicate units in the solution)}

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You have just learned that a complete circle (360º) is equal to

 $2\pi$  radians. 
How many degrees are  $5\pi$   radians?

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The frequency of my gramophone is 20Hz. What is its period?

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A satellite takes 5 days to complete one orbit around the Earth. What is its frequency?

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The angular velocity of a carrousel is 12,56 rad/s. What is its frequency?

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The angular velocity of a carrousel is 12,56 rad/s. What is its period?

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The angular velocity of a carrousel is 10rpm (revolutions per minute). What is the angular velocity in rad/s?
You have to use that one revolution has  $2\pi$  radians

(approximate your answer to the nearest integer)

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A fly is spining on a disk at 5 cm from the center of it. If the angular velocity of the disk is 3,2 rad/s, what is the linear velocity of the fly?

Multiple Choice

Calculate the frequency (Hz) of a disk that makes 10 revolutions en 2 s.

• 1/5 Hz

• 5 Hz

• 2 Hz

• 8 Hz

Multiple Choice

A wheel make 20 revolutions in 30 s. Calculate its period.

• 1,5 s

• 2,5 s

• 3 s

• 4 s

Multiple Choice

A car is turning on a curve with 50 m of radius and an acceleration of 2m/s² . Calculate its velocity

• 100 m/s

• 10 m/s

• 25 m/s

• 0.1256 m/s

Multiple Choice

A bike's wheel makes 30 spins in 5 seconds. Calculate its angular velocity,

• 18.84 rad/s

• 56.52 rad/s

• 43.96 rad/s

• 36.94 rad/s

Multiple Choice

A disk makes 50 spins in 60 seconds. Calculate the period of the disk.

• 1 s

• 1,2 s

• 2,4 s

• 0,83 s

Multiple Choice

A disk makes 50 spins in 60 seconds. Calculate the frequency of the disk.

• 1 Hz

• 1,2 Hz

• 2,4 Hz

• 0,83 Hz