Answer:
10.94 π/s and since there are 2π radians in a circle, an answer is 32 radians/second.
Explanation:
Lets start by calculating the distance around the tire (it's circumference).
Circumference is given by 2πr, where r is the radius.
Circumference:
2πr, where r = (1/2) the diameter, or 32 cm.
2π(32 cm) = 64π cm
Speed:
Lets calculate the speed of the wheel's rotation, in π per second.
The speed, 7.0 m/sec, needs to be converted into cm/sec, to make it compatible with the unit dimensions of the tire's circumference, which is in π cm.
There are 100cm/meter.
(7.0 m/sec)*(100cm/meter) = 700 cm/s.
Rotational velocity would be (700 cm/s)/(64π cm)
(700 cm/s)/(64π cm) = 10.94 π/s
There are 2π radians in a circle. Does that mean 32 radians/second?