A racing car travels on a circular track of
radius 399 m, moving with a constant linear
speed of 40.5 m/s.
Find its angular speed.
Answer in units of rad/s
Circumference = pi * 2r = 3.14 * 2*399 = 2507 m.
V = 40.5m/s * 6.28rad/2507m = 0.1015 rad/s.
To find the angular speed of the racing car, we can use the formula:
Angular speed (ω) = linear speed (v) / radius (r)
Substituting the given values:
ω = 40.5 m/s / 399 m
Simplifying, we get:
ω = 0.101 rad/s
Therefore, the angular speed of the racing car is 0.101 rad/s.
To find the angular speed of the racing car, we can use the formula:
Angular Speed (ω) = Linear Speed (v) / Radius (r)
Given that the linear speed of the car is 40.5 m/s and the radius of the track is 399 m, we can substitute these values into the formula to calculate the angular speed:
ω = 40.5 m/s / 399 m
Simplifying this expression:
ω = 0.1015 rad/s
Therefore, the angular speed of the racing car is 0.1015 rad/s.