Question

Definition:The Isuzu NPR 250 light truck with manual transmission has a circular brake drum with a diameter of 320 millimeters. Each brake pad, which presses against the drum, is 307 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees

Answer 1

central angle ( θ) = 1.91875radians

central angle ( θ) in degrees = 109.92degree

Explanation:

Given:

diameter of 320 millimeters

Then the Radius of the circular

brake drum can be calculated as

Radius =Diameter/2

Radius = 320 millimeters/ 2

Radius= 160 millimeters

central angle ( θ) = arc/r

central angle ( θ) = 307 millimeters /160 millimeters

central angle ( θ) = 1.91875radians

Than to convert it to degrees we have

1rad × 180/π = degree

Where π =3.142

central angle ( θ) = 1.91875radians * 180/π

Therefore,central angle ( θ) in degrees = 109.92degree