Question

An amusement park ride has cars that move around a circular track at the rate of 16 revolutions in 20 seconds. To the nearest hundredth, the angular velocity of the cars is radians per second.

Answer 1

`5.03(rad)/(sec)`

Explanation:

To find the angular velocity divide the revolutions by the time

so

`(16)/(20)=0.8(rev)/(sec)`

Remember that

`1\ rev=2\pi \ rad`

Convert rev/sec to rad/sec

`0.8(rev)/(sec)=0.8*(2\pi)=1.6 \pi(rad)/(sec)`

assume
`\pi=3.1416`

`1.6(3.1416)=5.03(rad)/(sec)`