A uniform helicopter rotor blade is 7.80 m long, has a mass of 110 kg, and is attached to the rotor axle by a single bolt. (a) What is the magnitude of the force on the bolt from the axle when the rotor is turning at 320 rev/min? (Hint: For this calculation the blade can be considered to be a point mass at its center of mass.Why?) (b) Calculate the torque that must be applied to the rotor to bring it to full speed from rest in 6.70 s. Ignore air resistance. (The blade cannot be considered to be a point mass for this calculation.Why not? Assume the mass distribution of a uniform thin rod.) (c) How much work does the torque do on the blade in order for the blade to reach a speed of 320 rev/min?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 90P: A uniform cylindrical grinding wheel of mass 50.0 kg and diameter 1.0 m is turned on by an electric...
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A uniform helicopter rotor blade is 7.80 m long, has a mass of
110 kg, and is attached to the rotor axle by a single bolt. (a) What is
the magnitude of the force on the bolt from the axle when the rotor
is turning at 320 rev/min? (Hint: For this calculation the blade
can be considered to be a point mass at its center of mass.Why?)
(b) Calculate the torque that must be applied to the rotor to bring
it to full speed from rest in 6.70 s. Ignore air resistance. (The blade
cannot be considered to be a point mass for this calculation.Why
not? Assume the mass distribution of a uniform thin rod.) (c) How
much work does the torque do on the blade in order for the blade
to reach a speed of 320 rev/min?

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