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

Answer 2

The radian angle at which the wheel rotated is; 1: 30

What is the angle of rotation?

We are given;

Diameter of wheel; d = 3 ft

Radius; r = d/2 = 3/2 = 1.5 ft

Now, the formula for the radian angle at which the wheel rotated is;

θ = s/r =

where;

s is distance

r is radius

Thus;

θ = 45/1.5

θ = 30 radians

Thus the angle at which the wheel rotated is 30 radians

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