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

Answer:

$5.03\frac{rad}{sec}$

Step-by-step explanation:

To find the angular velocity divide the revolutions by the time

so

$\frac{16}{20}=0.8\frac{rev}{sec}$

Remember that

$1\ rev=2\pi \ rad$

Convert rev/sec to rad/sec

$0.8\frac{rev}{sec}=0.8*(2\pi)=1.6 \pi\frac{rad}{sec}$

assume $\pi=3.1416$

$1.6(3.1416)=5.03\frac{rad}{sec}$