Question

A model car moves around a ˚ular path of radius 0.3m at 2 revolutions per second. What is the speed of the car and angular speed?

a) Speed: 3.77m/s, Angular Speed: 4πrad/s
b) Speed: 1.88m/s, Angular Speed: 2πrad/s
c) Speed: 2.26m/s, Angular Speed: 3πrad/s
d) Speed: 4.52m/s, Angular Speed: 6πrad/s

Answer 1

The speed of the car is 2.26m/s and the angular speed is 4π rad/s.

Step-by-step explanation:

To find the speed of the car, we can use the formula:

Speed = 2 x π x radius x frequency

Given that the radius of the circular path is 0.3m and the car moves at 2 revolutions per second, we can calculate the speed as:

Speed = 2 x π x 0.3 x 2 = 2.26m/s

To find the angular speed, we can use the formula:

Angular Speed = 2 x π x frequency

Given that the car moves at 2 revolutions per second, we can calculate the angular speed as:

Angular Speed = 2 x π x 2 = 4π rad/s