Asked by Danny
Simple Machines
A simple wheel and axle has a wheel diameter of 2.3m and an axle diameter of 92mm. If an effort of 26N is required to raise a mass of 16 kg what is the efficiency of the machine?
A- 2.46%
B- 95.3%
C- 24.1%
D- 20.1%
E- 65.5%
I am having a problem determining what formulas to use.
A simple wheel and axle has a wheel diameter of 2.3m and an axle diameter of 92mm. If an effort of 26N is required to raise a mass of 16 kg what is the efficiency of the machine?
A- 2.46%
B- 95.3%
C- 24.1%
D- 20.1%
E- 65.5%
I am having a problem determining what formulas to use.
Answers
Answered by
drwls
The 16 kg mass has a weight of M*g = 156.8 N. Presumably, the cable that lifts the weight is wound around the axle and the cable that one pulls on is wrapped around the wheel outer rim.
Input torque = 26 N*(2.3/2) m = 29.9 N-m
Output torque = 156.8 N * (0.092/2 m) = 7.213 N-m
Efficiency = 7.213/29.9 = 0.241
Input torque = 26 N*(2.3/2) m = 29.9 N-m
Output torque = 156.8 N * (0.092/2 m) = 7.213 N-m
Efficiency = 7.213/29.9 = 0.241
Answered by
Jahomari Johnson
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