Question Detail

PHY 101 Circular Motion Objective Question

Question

The relationship between the arc length (s) described by an object in circular motion, the radius of the circle (R), and the angular displacement (θ) is given by which formula?
Options
A s = R / θ
B R = s * θ
C θ = s * R
D s = R * θ
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The lecture states that s is the length of arc described by the angle θ and R is the radius, establishing the fundamental geometric relationship s = Rθ (with θ in radians).

Hint

This relationship is analogous to the formula for the circumference of a circle, C = 2πR, which is a special case where θ = 2π radians.

Question Info