5. A 0.2 N force is exerted on thread wrapped around a spool which is allowed to rotate freely about its center. The thread is pulled tangentially to the inner part of the spool (diameter 3 cm) for 3 seconds, while the whole spool (diameter 2 cm, moment of inertia 2 x 10-5 kg.m²), initially at rest, starts to rotate. A) What is the angular acceleration of the spool as the thread is pulled? B) After the 3 seconds, what is the angular speed of the spool? C) How many radians has it rotated in this 3 second interval? 2 cm cm 0.2 N

Elements Of Electromagnetics
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#5 A-D
2 cm
5. A 0.2 N force is exerted on thread wrapped around a spool which is
allowed to rotate freely about its center. The thread is pulled tangentially
to the inner part of the spool (diameter 3 cm) for 3 seconds, while the
2
whole spool (diameter 2 cm, moment of inertia 2 x 10-5 kg.m²),
initially at rest, starts to rotate.
cm
A) What is the angular acceleration of the spool as the thread is pulled?
B) After the 3 seconds, what is the angular speed of the spool?
C) How many radians has it rotated in this 3 second interval?
D) Use your answer in B) to calculate the energy input to the spool by finding how much rotational
kinetic energy it has gained, then use the answer in C) to calculate the work input from the
applied torque and the angle it has rotated. Check that these are equal.
0.2 N
Transcribed Image Text:2 cm 5. A 0.2 N force is exerted on thread wrapped around a spool which is allowed to rotate freely about its center. The thread is pulled tangentially to the inner part of the spool (diameter 3 cm) for 3 seconds, while the 2 whole spool (diameter 2 cm, moment of inertia 2 x 10-5 kg.m²), initially at rest, starts to rotate. cm A) What is the angular acceleration of the spool as the thread is pulled? B) After the 3 seconds, what is the angular speed of the spool? C) How many radians has it rotated in this 3 second interval? D) Use your answer in B) to calculate the energy input to the spool by finding how much rotational kinetic energy it has gained, then use the answer in C) to calculate the work input from the applied torque and the angle it has rotated. Check that these are equal. 0.2 N
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