Question

A bicycle tire of a radius of 0.44 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.87 m? Express your answer in radians and degrees.

Answer 1

Based on the calculations, the angle through which the tire rotates is equal to 4.26 radians and 244.0 degrees.

How to calculate the angle?

In Physics, the distance covered by an object in circular motion can be calculated by using this formula:

S = rθ

Where:

• r is the radius of a circular path.

• θ is the angle measured in radians.

• S is the distance.

Substituting the given parameters into the formula, we have;

1.87 = 0.44 × θ

θ = 1.87/0.44

θ = 4.26 radians.

Next, we would convert this value in radians to degrees:

θ = 4.26 × 180/π

θ = 4.26 × 180/3.142

θ = 244.0 degrees.

Read more on radians here: brainly.com/question/19758686

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