A softball pitcher throws a ball by swinging his arm with an angular speed of 9.81 rad/s. If the pitchers arm is 0.640 m long, what is the tangential speed of the ball just before the pitcher releases it?
C = pi*2r = 3.14 * 2*0.640 = 4.02 m. =
Circumference.
V = 9.81rad/s * 4.02m/6.28rad=6.28 m/s.
= Tangential speed.
To calculate the tangential speed of the ball just before the pitcher releases it, we can use the formula:
Tangential speed = Angular speed * Radius
In this case, the angular speed is given as 9.81 rad/s, and the length of the pitcher's arm (which represents the radius) is given as 0.640 m. So, we can substitute these values into the formula to find the tangential speed:
Tangential speed = 9.81 rad/s * 0.640 m
Calculating this, we find:
Tangential speed = 6.2784 m/s
Therefore, the tangential speed of the ball just before the pitcher releases it is approximately 6.2784 m/s.