Question

In: Physics

Roger is a tennis player, he performs a serve with a 0.68 kg tennis racket. The...

Roger is a tennis player, he performs a serve with a 0.68 kg tennis racket. The serve took 0.4 s from the back of the swing until ball impact. The angular velocity of the racket at the start of the serve is zero, and it reaches a peak value equal to 29 rad.s-1 at the instant of ball impact. The peak linear velocity of the racket at the center of gravity is equal to 13.6 m.s-1.

Calculate the moment of inertia of the racket felt by the player?

Solutions

Expert Solution

concept --

  • , where &   = angular velocity at time t & at t=0 . ,, = angular acceleration
  • where I = moment of inertia

Solution-- given in the question that , M= 0.68 kg , t = 0.4s , = 29 rad.s-1 , = 0 , v = 13.6m/s

  • sing the equation ..
  • ..................
  • now ..
  • putting the value ...
  • ...........(1)
  • now using the equatin for moment of inertia we have
  • kg-m2...........(answer)

Related Solutions

For a top player, a tennis ball may leave the racket on the serve with a...
For a top player, a tennis ball may leave the racket on the serve with a speed of 55 m/s (about 120 mi/h). If the ball has a mass of 0.060 kg and is in contact with the racket for about 4 ms (4 x 10-3 s), estimate the average force on the ball. Would this force be large enough to lift a 60-kg person?
a) The probability of the first serve is good for a tennis player is denoted by...
a) The probability of the first serve is good for a tennis player is denoted by p. A player decides to increase p by taking a training program. After the training program completed, the player wishes to test Ho : p = 0.40 against HI : p > 0.40 . Let y be the number of first serve is good. Given that the total number of first serve, n = 20 and the critical region of the test is y...
A certain tennis player makes a successful first serve 76​% of the time. Suppose the tennis...
A certain tennis player makes a successful first serve 76​% of the time. Suppose the tennis player serves 50 times in a match.​ What's the probability that she makes at least 42 first​ serves?
A certain tennis player makes a successful first serve 74​% of the time. Suppose the tennis...
A certain tennis player makes a successful first serve 74​% of the time. Suppose the tennis player serves 110 times in a match.​ What's the probability that she makes at least 86 first​ serves?
If the probability that a certain tennis player will serve an ace is 1/ 6 ,...
If the probability that a certain tennis player will serve an ace is 1/ 6 , what is the probability that he will serve exactly four aces out of six serves? (Assume that the six serves are independent. Round your answer to four decimal places.)
5. A tennis player makes a successful first serve 51% of the time. Assume that each...
5. A tennis player makes a successful first serve 51% of the time. Assume that each serve is independent of the others. If she serves 9 times, what is the probability that she gets at most 3 successful first serves in? 6. The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.3 cm. Find the probability that the mean for 25 randomly selected distances is greater than 200.30...
A certain tennis player makes a successful first serve 66​% of the time. Assume that each...
A certain tennis player makes a successful first serve 66​% of the time. Assume that each serve is independent of the others. If she serves 5 ​times, what's the probability she gets​ a) all 5 serves​ in? b) exactly 4 serves​ in? c) at least 3 serves​ in? d) no more than 4 serves​ in? ​a) The probability that she gets all 5 serves in is __________. ​(Round to three decimal places as needed.). ​b) The probability she gets exactly...
A certain tennis player makes a successful first serve 61​% of the time. Assume that each...
A certain tennis player makes a successful first serve 61​% of the time. Assume that each serve is independent of the others. If she serves 8 ​times, what's the probability she gets​ a) all 8 serves​ in? b) exactly 2 serves​ in? c) at least 6 serves​ in? d) no more than 7 serves​ in?
30. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a...
30. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a standard deviation of 4 mph. If the distribution of service speeds is normal, what proportion of Jaron’s serves will be between 120 and 130 mph? a. .6232 b. .8421 c. .9736 d. .7888 e. .7226
31. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a...
31. The speed of college tennis player Jaron Jackson’s first serve averages 125 mph, with a standard deviation of 4 mph. If the distribution of service speeds is normal, what proportion of Jaron’s serves will be between 131 and 133 mph? a. .0035 b. .044 c. .0923 d. .1087 e. .036
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT