A conical pendulum is formed by attaching a 200 g ball to a 1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 30 cm. What is the ball's angular velocity? -Point of a) 10.3 rad/s b) 9.25 rad/s c) 6.53 rad/s d) 5.72 rad/s e) 3.21 rad/s support 1 m

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Chapter6: Uniform Circular Motion And Gravitation
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8. A conical pendulum is formed by attaching a 200 g ball to a 1.0-m-long string, then allowing the mass
to move in a horizontal circle of radius 30 cm. What is the ball's angular velocity?
Point of
a) 10.3 rad/s
b) 9.25 rad/s
c) 6.53 rad/s
d) 5.72 rad/s
e) 3.21 rad/s
support
1 m
O = arcsin(30/100)= 17.46 degree
Tcos(O)=mg
Tsin(O)=mo?r
w= sqrt(gtan(O)/r)=3.21 rad/s
Copyright O 2004 Pearson Education, Inc., publishing as Addison Wesley
Transcribed Image Text:8. A conical pendulum is formed by attaching a 200 g ball to a 1.0-m-long string, then allowing the mass to move in a horizontal circle of radius 30 cm. What is the ball's angular velocity? Point of a) 10.3 rad/s b) 9.25 rad/s c) 6.53 rad/s d) 5.72 rad/s e) 3.21 rad/s support 1 m O = arcsin(30/100)= 17.46 degree Tcos(O)=mg Tsin(O)=mo?r w= sqrt(gtan(O)/r)=3.21 rad/s Copyright O 2004 Pearson Education, Inc., publishing as Addison Wesley
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