Suppose you swing a ball of mass mm in a vertical circle on a string of length LL. As you probably know from experience, there is a minimum angular velocity ωminωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. Find an expression for ωminωmin in terms of gg and LL . Express your answer in terms of the variables LL and appropriate constants. Evaluate ωminωmin in rpm for a 65 gg ball tied to a 1.0-mm-long string. Express your answer to two significant figures and include the appropriate units.
Suppose you swing a ball of mass mm in a vertical circle on a string of length LL. As you probably know from experience, there is a minimum angular velocity ωminωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. Find an expression for ωminωmin in terms of gg and LL . Express your answer in terms of the variables LL and appropriate constants. Evaluate ωminωmin in rpm for a 65 gg ball tied to a 1.0-mm-long string. Express your answer to two significant figures and include the appropriate units.
Suppose you swing a ball of mass mm in a vertical circle on a string of length LL. As you probably know from experience, there is a minimum angular velocity ωminωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. Find an expression for ωminωmin in terms of gg and LL . Express your answer in terms of the variables LL and appropriate constants. Evaluate ωminωmin in rpm for a 65 gg ball tied to a 1.0-mm-long string. Express your answer to two significant figures and include the appropriate units.
Suppose you swing a ball of mass mm in a vertical circle on a string of length LL. As you probably know from experience, there is a minimum angular velocity ωminωmin you must maintain if you want the ball to complete the full circle without the string going slack at the top.
Find an expression for ωminωmin in terms of gg and LL .
Express your answer in terms of the variables LL and appropriate constants.
Evaluate ωminωmin in rpm for a 65 gg ball tied to a 1.0-mm-long string.
Express your answer to two significant figures and include the appropriate units.
Transcribed Image Text:Problem 8.52
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I Review I Const
Suppose you swing a ball of mass m in a vertical circle on a
string of length L. As you probably know from experience, there is
a minimum angular velocity wmin you must maintain if you want
the ball to complete the full circle without the string going slack at
the top.
Part A
Find an expression for Wmin in terms of g and L.
Express your answer in terms of the variables L and appropriate constants.
ΑΣφ
?
Wmin =
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Part B
Evaluate wmin in rpm for a 65 g ball tied to a 1.0-m-long string.
Express your answer to two significant figures and include the appropriate units.
HÀ
?
Value
Units
Wmin =
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Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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