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A fire hose is wrapped around a cylinder of radius 50.0cm which is attached to the side of a fire engine. A fireman grabs the end of the hose and begins to run with a constant acceleration of 1.5 m/s 2 . Assuming the hose is 200.0 meters long and has negliigilbe thickness, how fast is the cylinder rotating (in units of radians per second) after the hose has completely unraveled?

A fire hose is wrapped around a cylinder of radius 50.0cm which is attached to the side of a fire engine. A fireman grabs the end of the hose and begins to run with a constant acceleration of 1.5 m/s2. Assuming the hose is 200.0 meters long and has negliigilbe thickness, how fast is the cylinder rotating (in units of radians per second) after the hose has completely unraveled? 

Grade:12

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
Given in the qstn.,
R=50cm=0.5m
αR=1.5m/s2
=>α=3 rad/s2
d=200m
d=at2/2
=>200=1.5xt2/2
=>t=√(400/1.5)
w=αt=3x√(400/1.5) rad/s =49rad/s.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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