A mark on the rim of a rotating circular wheel of 0.50m radius is moving with a speed 10m/s. Find its angular speed.
To find the angular speed of the mark on the rim of the rotating circular wheel, you can use the formula:
Angular speed (ω) = Linear speed (v) / Radius (r)
Given:
Linear speed (v) = 10 m/s
Radius (r) = 0.50 m
Substituting the given values into the formula, we have:
ω = v / r
= 10 m/s / 0.50 m
= 20 rad/s
Therefore, the angular speed of the mark on the rim of the rotating circular wheel is 20 rad/s.
To find the angular speed, we need to use the equation:
Angular speed = Linear speed / Radius
In this case, the linear speed is given as 10 m/s, and the radius of the wheel is given as 0.50 m.
Substituting these values into the equation:
Angular speed = 10 m/s / 0.50 m
Simplifying the division:
Angular speed = 20 rad/s
Therefore, the angular speed of the mark on the rim of the rotating circular wheel is 20 radians per second.
angular speed=velocitytip/radius
= 20 radians/sec