(a)
The angular speed of discuss at a moment just before the release.
(a)
Answer to Problem 53P
The angular speed is
Explanation of Solution
Number of revolutions are
Write the equation for average
Here,
Write the equation to find
Here,
Equate the right hand sides of above two equations.
Conclusion:
Substitute
Therefore, the angular speed is
(b)
The torque that must be applied on discuss.
(b)
Answer to Problem 53P
The torque is
Explanation of Solution
Number of revolutions are
Consider the discus as a point object.
Write the equation for torque.
Here,
Write the equation for
Here,
Write the equation for
Rewrite equation (I) by substituting equations (II) and (III).
Write the equation for
Rewrite the previous equation for
Conclusion:
Substitute
Therefore, the torque is
(c)
The distance from athlete to the landing point of discus.
(c)
Answer to Problem 53P
The distance is
Explanation of Solution
Number of revolutions is
The discus will execute a parabolic path. Write the equation to find the initial velocity of discus.
Here,
Write the equation to find the distance to landing place from the athlete.
Here,
Conclusion:
Substitute
Substitute
Therefore, the distance is
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