A grass trimmer for landscaping 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 2,250 rev/min in 0.175 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.) (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?

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 14.55P
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A grass trimmer for landscaping 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 2,250 rev/min in 0.175 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.)
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?
W
Transcribed Image Text:A grass trimmer for landscaping 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 2,250 rev/min in 0.175 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.) 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? W
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