Question

Question

A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the
given angular velocity? How far will it travel in that time? Round to the nearest tenth.
360°;8 rev/sec
The coin will take
sec to roll 360° and travels approximately
mm.

Answer 1

Time taken is 0.897 sec and distance traveled is 56.36 mm

Explanation:

It is given radius of the coin r = 10 mm

Angle measure
`\theta =360^(\circ)`

In radian it will be equal to

`\theta =360^(\circ)* (\pi )/(180)`

`=2\pi =6.28radian`

Angular velocity = 78 rev/sec

It is known that
`\theta =\alpha t`

Therefore
`6.28=7* t`

t = 0.897 sec

Now distance traveled will be equal to

`d=2\pi r* t`

`=20* 3.14* 0.897`

`=56.36mm`

Therefore time taken is 0.897 sec and distance traveled is 56.36 mm