if a 4-ft diameter wheel turns at 12 rad/min, what is the linear speed of a point on the wheel?
Accepted Solution
A:
Linear Speed = Radius Γ Angular Speed
Given the diameter of the wheel is 4 feet, the radius is half of that, which is 2 feet. The angular speed is given as 12 radians per minute.
Plugging in the values:
Linear Speed = 2 feet Γ 12 rad/min = 24 feet/min
So, the linear speed of a point on the wheel is 24 feet per minute.