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E7. Starting from rest, a merry-go-round accelerates at a constant rate of 0.4 rev/s. What is its rotational velocity after 6.0 s? E8. A force of 70.0 N is applied at the end of a wrench handle that is 24.0 cm long. The force is applied in a direction perpendicular to the handle, as shown in the diagram below. What is the torque applied to the nut by the wrench? E9. A weight of 40.0 Nis located a distance of 8.0 cm from the fulcrum of a simple balance beam. At what distance from the fulcrum should a weight of 25.0 Nbe placed on the opposite side in order to balance the system? Answer to 3SigFigs in proper units:

E7. Starting from rest, a merry-go-round accelerates at a constant rate of 0.4 rev/s. What is its rotational velocity after 6.0 s? E8. A force of 70.0 N is applied at the end of a wrench handle that is 24.0 cm long. The force is applied in a direction perpendicular to the handle, as shown in the diagram below. What is the torque applied to the nut by the wrench? E9. A weight of 40.0 Nis located a distance of 8.0 cm from the fulcrum of a simple balance beam. At what distance from the fulcrum should a weight of 25.0 Nbe placed on the opposite side in order to balance the system? Answer to 3SigFigs in proper units:

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Please answer E7,E8,E9

E7. Starting from rest, a merry-go-round accelerates at a constant rate of 0.4 rev/s². What is its rotational velocity after 6.0 s? E8. A force of 70.0 Nis applied at the end of a wrench handle that is 24.0 cm long. The force is applied in a direction perpendicular to the handle, as shown in the diagram below. What is the torque applied to the nut by the wrench? E9. A weight of 40.0 N is located a distance of 8.0 cm from the fulcrum of a simple balance beam. At what distance from the fulcrum should a weight of 25.0 N be placed on the opposite side in order to balance the system? Answer to 3SigFigs in proper units: E10. A weight of 8.0 N is located 12.0cm from the fulcrum on the beam of a simple balance. What weight should be placed at a point 5.0 cm from the fulcrum on the opposite side in order to balance the system? E11. (a) Two forces are applied to a merry-go-round with a radius of 1.3 m, as shown in this question's diagram. One force has a magnitude of 90.0 N and the other a magnitude of 40.0 N. What is the torque about the axle of the merry-go-round due to the 90.0-N force? (b) What is the net torque acting on the merry-go-round? (You'll have to determine the torque due to the 40.0N force first.) E12. A net torque of 93.5 N-m is applied to a disk with a rotational inertia of 1.0 kg - m. What is the rotational acceleration of the disk? E13. A wheel with a rotational inertia of 83 kg m2 accelerates at a rate of 4 0 rad/s2. What net torque is needed to produce this acceleration? E14. A torque of 76.0 Nm producing a counterclockwise rotation is applied to a wheel about its axle. A frictional torque of 1 4.0 N-m acts at the axle. What is the net torque about the axle of the wheel?
Transcribed Image Text:E7. Starting from rest, a merry-go-round accelerates at a constant rate of 0.4 rev/s². What is its rotational velocity after 6.0 s? E8. A force of 70.0 Nis applied at the end of a wrench handle that is 24.0 cm long. The force is applied in a direction perpendicular to the handle, as shown in the diagram below. What is the torque applied to the nut by the wrench? E9. A weight of 40.0 N is located a distance of 8.0 cm from the fulcrum of a simple balance beam. At what distance from the fulcrum should a weight of 25.0 N be placed on the opposite side in order to balance the system? Answer to 3SigFigs in proper units: E10. A weight of 8.0 N is located 12.0cm from the fulcrum on the beam of a simple balance. What weight should be placed at a point 5.0 cm from the fulcrum on the opposite side in order to balance the system? E11. (a) Two forces are applied to a merry-go-round with a radius of 1.3 m, as shown in this question's diagram. One force has a magnitude of 90.0 N and the other a magnitude of 40.0 N. What is the torque about the axle of the merry-go-round due to the 90.0-N force? (b) What is the net torque acting on the merry-go-round? (You'll have to determine the torque due to the 40.0N force first.) E12. A net torque of 93.5 N-m is applied to a disk with a rotational inertia of 1.0 kg - m. What is the rotational acceleration of the disk? E13. A wheel with a rotational inertia of 83 kg m2 accelerates at a rate of 4 0 rad/s2. What net torque is needed to produce this acceleration? E14. A torque of 76.0 Nm producing a counterclockwise rotation is applied to a wheel about its axle. A frictional torque of 1 4.0 N-m acts at the axle. What is the net torque about the axle of the wheel?
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