A weed trimmer for yard work has a rotating head which consists of a spool of monofilament 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 monofilament line has a linear density of 10.0 g/m. 16.0 cm -18.0 cm- 3.00 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 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 weeds, it spins at 2,100 rev/min and the weeds exert an average tangential force of 8.15 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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A weed trimmer for yard work has a rotating head which consists of a spool of monofilament 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 monofilament line has a linear density of 10.0 g/m.
16.0 cm
-18.0 cm-
W
3.00 cm
(a) When switched on, the trimmer speeds up from 0 to 2,500 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 weeds, it spins at 2,100 rev/min and the weeds exert an average tangential force of 8.15 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 weed trimmer for yard work has a rotating head which consists of a spool of monofilament 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 monofilament line has a linear density of 10.0 g/m. 16.0 cm -18.0 cm- W 3.00 cm (a) When switched on, the trimmer speeds up from 0 to 2,500 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 weeds, it spins at 2,100 rev/min and the weeds exert an average tangential force of 8.15 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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