Answer:
w = 6.325 rad/s
Explanation:
Given the following data;
Mass = 2kg
Radius, r = 10m
Centripetal force = 800N
To find the angular velocity of the car;
First of all, we would use the following formula to solve for the speed of the car;
Centripetal force = mv²/r
800 = 2*v²/10
Cross-multiplying, we have;
8000 = 2v²
4000 = v²
Taking the square root of both sides, we have;
v = √4000
v = 63.25 m/s
Next, we find the angular velocity, w using the formula below;
w = v/r
w = 63.25/10
w = 6.325 rad/s
