Question

A golf ball is launched at an angle of 20° to the horizontal, with a speed of 55 m/s and a rotation rate of 75 rad/s. neglecting air drag, determine the number of revolutions the ball makes by the time it reaches maximum height. (do not round your answer to an integer.)

Answer 1

To determine the number of revolutions the ball makes by the time it reaches maximum height, calculate the time of flight using the launch angle and initial velocity. Then, use the rotation rate to determine the number of revolutions.

Step-by-step explanation:

To determine the number of revolutions the golf ball makes by the time it reaches maximum height, we need to consider the time it takes for the ball to reach maximum height. For a projectile launched at an angle, the time to reach maximum height is given by:

t = (v0 * sin(theta)) / g

Where:

• t is the time of flight
• v0 is the initial velocity
• theta is the launch angle
• g is the acceleration due to gravity

Using the given launch angle of 20°, initial velocity of 55 m/s, and neglecting air drag, we can calculate the time of flight. Once we have the time of flight, we can determine the number of revolutions the ball makes using the rotation rate of 75 rad/s.