Please provide a detailed step by step solution to this problem. Thank you in ad

Question

Please provide a detailed step by step solution to this problem. Thank you in advance !!
During a tennis serve, a racket is given an angular acceleration of magnitude 125 rad/s2. At the top of the serve, the racket has an angular speed of 17 rad/s. If the distance between the top of the racket and the shoulder is 1.4 m, find the magnitude of the total acceleration of the top of the racket.
Please provide a detailed step by step solution to this problem. Thank you in advance !!
During a tennis serve, a racket is given an angular acceleration of magnitude 125 rad/s2. At the top of the serve, the racket has an angular speed of 17 rad/s. If the distance between the top of the racket and the shoulder is 1.4 m, find the magnitude of the total acceleration of the top of the racket.

During a tennis serve, a racket is given an angular acceleration of magnitude 125 rad/s2. At the top of the serve, the racket has an angular speed of 17 rad/s. If the distance between the top of the racket and the shoulder is 1.4 m, find the magnitude of the total acceleration of the top of the racket.

Explanation / Answer

at = r = (125)(1.4) = 175 m/s^2

ar = 2r = (125)^2(1.4) = 404.6 m/s^2

anet = sqrt(ar2 + at2 ) = sqrt(175^2 + 404.6 ^2) = 440.8 m/s^2

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