ment FULL SCREEN PRINTER VERSION BACK NEXT Chapter 08, Problem 41 A baseball pit

Question

ment FULL SCREEN PRINTER VERSION BACK NEXT Chapter 08, Problem 41 A baseball pitcher throws a baseball horizontally at a linear speed of 44.9 m/s. Before being caught, the baseball travels a about an axis as it travels, much like the earth does. What is the tangential speed of a point on Number the tolerance is +/-2% horizontal distance of 24.6 m and retates through an angle of s. 5 rad. The basebal has c oa the "equator" of the baseball Units LINK TO TEXT Question Attempts: O of 6 used SAVE FOR LATER SUB signenenM/test ag 11/1/2017

Explanation / Answer

Flight time, t = distance/speed = 24.6/44.9 = 0.548 s

Now, number of rotations, n = 48.5 x rads/(2 x pi) = 7.72

time for a rotation, T = t/n = 0.548/7.72 = 0.071 s

The circumference of the baseball, C = 2 x pi x R where R is 0.0325 m

C = 0.204 m

The tangential speed is then the circumference divided by the time it takes to complete one rotation.

speed = C/T = 0.204/0.071 = 2.876 m/s

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