a car has wheel of radius 0.3m and is traveling at a speed of 36m\s. calculate the angular speed of the wheel
the circumference of the wheel is 0.6π
so, since there are 2π radians per revolution, the angular speed is
36 / 0.6π * 2π = 120 rad/s
Put v= rw
36=0.3 w
w = 120rad/sec
To find the angular speed of the wheel, we can use the formula:
Angular speed (ω) = linear speed (v) / radius (r)
In this case, the linear speed of the car is given as 36 m/s, and the radius of the wheel is 0.3 m.
Applying the formula, we have:
Angular speed (ω) = 36 m/s / 0.3 m
Simplifying, we get:
Angular speed (ω) = 120 radians/s
Therefore, the angular speed of the wheel is 120 radians/s.