A truck with 16-inch radius wheels is driven at 77 feet per second (52.5 miles per hour). Find the
measure of the angle through which a point on the outside of the wheel travels each second. Round to the nearest
degree and nearest radian.

Given Information:

Radius of wheel = r = 16 inches

Linear speed = v = 77 ft/sec

Required Information:

Angle in radian = ?

Angle in degree = ?

Angle in radian = 58 rad/sec

Angle in degree = 3309 deg/sec

Step-by-step explanation:

As we know the relation between linear and angular speed is given by

v = rω

ω = v/r

First convert linear speed from feet/sec to inches/sec

1 foot has 12 inches

77*12 = 924 in/sec

ω = v/r

ω = 924/16

ω = 57.75 rad/sec

ω ≈ 58 rad/sec

Now convert rad/sec to deg/sec

ω = 58*(180°/π)

ω = 3308.8 deg/sec

ω ≈ 3309 deg/sec

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step-by-step explanation: