To find the tangential velocity of a point on a rotating wheel, you can use the relationship between angular velocity and tangential velocity.
The formula relating angular velocity (ω) to tangential velocity (v) is:
v = ω * r
Where: v is the tangential velocity, ω is the angular velocity, and r is the radius of the wheel.
Given that the angular velocity is 40 rad/s and the radius is 30 cm (or 0.3 m), we can substitute these values into the formula:
v = 40 rad/s * 0.3 m
v = 12 m/s
Therefore, the tangential velocity of a point on the wheel is 12 m/s.