Fishing Reel 4 0
How much line unwinds in 0.41 seconds? Answer in cm.?
A cylindrical fishing reel has a moment of inertia of 0.0008 kg*m^2 and a radius of 4 cm. A friction clutch in the reel exerts a restraining torque of 1.27 N*m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 48 rad/s^s. How much line unwinds in 0.41 seconds? Answer in cm.
All you need to solve this problem is angular acceleration. Remaining data are there to mislead and confuse you. Here, angular acceleration is constant, i.e., “uniform”, and rotation angle is found from angular acceleration in a way totally reminiscent of the way distance can be found from acceleration when initial velocity is zero.
θ = ½ αt² = 24 r/s² × (0.41 s)² = 4.034 r -about 231°.
Having done this, only remains to determine unwound line length:
s = θr = 4.034 × 4 cm = 16.14 cm.
Maynooth Reel Run 2010-4-10 (0).avi
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