- #1
Miike012
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Problem:
A large fish strikes bait cast by a fisherman with a rod
and reel. The fish creates tension in the line of 65 N.
How many revolutions of the reel occur in 1.0 s if the
reel has a moment of inertia of 4.0 * 10^-3 kg-m2 and the
radial distance of the line from the reel’s axis is 4.0
cm? Assume the reel has negligible friction.
Solution:
calculated Torque from tension force: 65N*.04m = 2.6
ƩTorque = I*(angular Acceleration)
2.6/ ( 4.0 10^-3) = angular Acceleration = 650
(650)*(1sec) = Angular Velocity = 650 rad/sec * rev/(2pi) = 103 rev/sec.
What am I doing wrong? the answer is 52 rev
A large fish strikes bait cast by a fisherman with a rod
and reel. The fish creates tension in the line of 65 N.
How many revolutions of the reel occur in 1.0 s if the
reel has a moment of inertia of 4.0 * 10^-3 kg-m2 and the
radial distance of the line from the reel’s axis is 4.0
cm? Assume the reel has negligible friction.
Solution:
calculated Torque from tension force: 65N*.04m = 2.6
ƩTorque = I*(angular Acceleration)
2.6/ ( 4.0 10^-3) = angular Acceleration = 650
(650)*(1sec) = Angular Velocity = 650 rad/sec * rev/(2pi) = 103 rev/sec.
What am I doing wrong? the answer is 52 rev