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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
Question
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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