Question

A bug on the outside of a wheel rotates at a constant angular rate. You measure the bug to pass through 57 radians in 6.80 seconds. If the wheel's radius is 0.35 meters in length, what is the linear tangential velocity of the rock? Give your answer in units ofmeters per second.

Answer 1

In order to calculate the linear tangential velocity, we can use the formula:

`V=w\cdot r`

Where w is the angular velocity and r is the radius.

In order to find the angular velocity, we can divide the total angular distance (5π radians) by the amount of time (6.8 seconds):

`w=(5\pi)/(6.8)=2.31`

Now, calculating the linear tangential velocity, we have:

`\begin{gathered} V=2.31\cdot0.35 \\ V=0.81 \end{gathered}`

So the linear tangential velocity is 0.81 m/s.