250-g ball at the end of a string is revolving uniformly in a horizontal circle of radius 0.70 m. The ball mal revolutions per second. (a) What is its centripetal acceleration? (b) What force is to be exerted on the string Solution: Given: m=250 g = 0.25 kg; r = 0.70 m; w = 2.0 rps a) The given angular velocity is in revolutions per second, we need to convert it yet to radian measures: rev 2π καὶ rad 4(3.1416) nd w = 2 = 12.6 rad/sec 1 rev a. Therefore, a = w²r = ( -X sec The force on the string is F = ma. Fc= Note: 1 N = 1 kg-m/sec² = 4 )²( sec sec _m/s² N

Physics for Scientists and Engineers
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Chapter6: Circular Motion And Other Applications Of Newton's Laws
Section: Chapter Questions
Problem 25AP: A string under a tension of 50.0 N is used to whirl a rock in a horizontal circle of radius 2.50 m...
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1. A 250-g ball at the end of a string is revolving uniformly in a horizontal circle of radius 0.70 m. The ball makes
2.0 revolutions per second. (a) What is its centripetal acceleration? (b) What force is to be exerted on the string?
Solution: Given: m = 250 g = 0.25 kg; r = 0.70 m; w = 2.0 rps
a) The given angular velocity is in revolutions per second, we need to convert it yet to radian measures:
rev 2π καὶ
rad
4(3.1416) nd
w = 2
= 12.6 rad/sec
1 rev
a.
Therefore, a = w²r =
sec
The force on the string is F = ma.
Fc =
Note: 1 N=1 kg-m/sec²
·x
4
sec
sec
_m/s²
N
Transcribed Image Text:1. A 250-g ball at the end of a string is revolving uniformly in a horizontal circle of radius 0.70 m. The ball makes 2.0 revolutions per second. (a) What is its centripetal acceleration? (b) What force is to be exerted on the string? Solution: Given: m = 250 g = 0.25 kg; r = 0.70 m; w = 2.0 rps a) The given angular velocity is in revolutions per second, we need to convert it yet to radian measures: rev 2π καὶ rad 4(3.1416) nd w = 2 = 12.6 rad/sec 1 rev a. Therefore, a = w²r = sec The force on the string is F = ma. Fc = Note: 1 N=1 kg-m/sec² ·x 4 sec sec _m/s² N
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