speed is distance/time
the circumference is 2π times the radius, so that's how far a point on the wheel travels in one revolution. So, for problem
#1
7 rad/s * 1rev/(2π rad) * (π*15 cm/rev) = 7*π*15/(2π) = 105/2 cm/s
#2 is just the same
#3 (3π/4 rad)/(2s) = 3π/8 rad/s
1. A flywheel is rotating at 7 rad/sec. It has a 15-cm diameter. What is the speed of a point on its rim, in cm/min?
2. A wheel is rotating at 3 radians/sec. The wheel has a 30 cm radius. What is the speed of a point on its rim, in m/min?
3. What is the angular speed in radians/second associated with a rotating an angle 3pi/4 radians in 2 seconds?
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