Question

A wheel whose diameter is 3 feet rolls a distance of 45 feet without slipping. Through what radian angle did the wheel rotate? 1) 30 2) 25 3 30 pi 4) 12 pi

Answer 1

Answer:

1) 30

Step-by-step explanation:

We need the radius of the wheel, we know that the radius is half the diameter, therefore:

r = d / 2 = 3/2 = 1.5

the angle is equal to the distance traveled (s) divided by the radius, thus:

° A = s / r =

° A = 45 / 1.5

° A = 30 radians

Through the radiation angle of 30 radians the wheel turned

therefore the answer is 1) 30