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out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and a mass of 100 g. The strand has a length of 16.0 cm. The nylon line has a linear density of 10.0 g/m. A grass trimmer for lawn care has a rotating head which consists of a spool of nylon line, with a strand of line that extends -16.0cm +3.00 cm 18.0 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 rev/min in 0.225 s. What average power (in W) is delivered to the head by the trimmer motor while it is accelerating? (Round your answer to at least one decimal place.) How is power related to work? What is the change in kinetic energy? What is the moment of inertia of the head? The spool can be modeled as a hollow cylinder. The strand can be modeled as a thin rod, but note the axis of rotation is a distance from the strand. What does the parallel axis theorem say? Be sure to convert all units to SI units. W (b) When the trimmer is cutting grass, it spins at 2,100 rev/min and the grass exert an average tangential force of 6.15 N on the outer end of the line, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power (in W) delivered to the head under load? How is the power related to the torque and the angular speed? Where is the force being applied? Be sure to convert all units to SI units. W

out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and a mass of 100 g. The strand has a length of 16.0 cm. The nylon line has a linear density of 10.0 g/m. A grass trimmer for lawn care has a rotating head which consists of a spool of nylon line, with a strand of line that extends -16.0cm +3.00 cm 18.0 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 rev/min in 0.225 s. What average power (in W) is delivered to the head by the trimmer motor while it is accelerating? (Round your answer to at least one decimal place.) How is power related to work? What is the change in kinetic energy? What is the moment of inertia of the head? The spool can be modeled as a hollow cylinder. The strand can be modeled as a thin rod, but note the axis of rotation is a distance from the strand. What does the parallel axis theorem say? Be sure to convert all units to SI units. W (b) When the trimmer is cutting grass, it spins at 2,100 rev/min and the grass exert an average tangential force of 6.15 N on the outer end of the line, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power (in W) delivered to the head under load? How is the power related to the torque and the angular speed? Where is the force being applied? Be sure to convert all units to SI units. W

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter15: Fluids
Section: Chapter Questions
Problem 46PQ
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A grass trimmer for lawn care has a rotating head which consists of a spool of nylon line, with a strand of line that extends out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and a mass of 100 g. The strand has a length of 16.0 cm. The nylon line has a linear density of 10.0 g/m. 16.0 cm +3.00 cm 18.0 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 rev/min in 0.225 s. What average power (in W) is delivered to the head by the trimmer motor while it is accelerating? (Round your answer to at least one decimal place.) How is power related to work? What is the change in kinetic energy? What is the moment of inertia of the head? The spool can be modeled as a hollow cylinder. The strand can be modeled as a thin rod, but note the axis of rotation is a distance from the strand. What does the parallel axis theorem say? Be sure to convert all units to SI units. W (b) When the trimmer is cutting grass, it spins at 2,100 rev/min and the grass exert an average tangential force of 6.15 N on the outer end of the line, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power (in W) delivered to the head under load? How is the power related to the torque and the angular speed? Where is the force being applied? Be sure to convert all units to SI units. W
Transcribed Image Text:A grass trimmer for lawn care has a rotating head which consists of a spool of nylon line, with a strand of line that extends out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and a mass of 100 g. The strand has a length of 16.0 cm. The nylon line has a linear density of 10.0 g/m. 16.0 cm +3.00 cm 18.0 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 rev/min in 0.225 s. What average power (in W) is delivered to the head by the trimmer motor while it is accelerating? (Round your answer to at least one decimal place.) How is power related to work? What is the change in kinetic energy? What is the moment of inertia of the head? The spool can be modeled as a hollow cylinder. The strand can be modeled as a thin rod, but note the axis of rotation is a distance from the strand. What does the parallel axis theorem say? Be sure to convert all units to SI units. W (b) When the trimmer is cutting grass, it spins at 2,100 rev/min and the grass exert an average tangential force of 6.15 N on the outer end of the line, which is still at a radial distance of 16.0 cm from the outer edge of the spool. What is the power (in W) delivered to the head under load? How is the power related to the torque and the angular speed? Where is the force being applied? Be sure to convert all units to SI units. W
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