A hydraulic brake system consists of the brake pedal, a master cylinder, a brake cylinder, a brake shoe, and a wheel drum (see the figure below). When the driver exerts a force Fhrake on the pedal, the result is a force of friction f on the wheel drum and hence a frictional torque about the axle. The master cylinder piston's cross-sectional area Ame is 1.80 cm², while the brake cylinder piston's cross-sectional area Ap is 6.40 cm2. The coefficient of friction between the brake shoe and the drum is 0.500, and the wheel drum has a radius of 44.3 cm. Determine the frictional torque about the axle when the force exerted on the brake pedal is 41.7 N. (Give the magnitude of your answer in N• m.)

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A hydraulic brake system consists of the brake pedal, a master cylinder, a brake cylinder, a brake shoe, and a wheel drum (see the figure below). When the driver
exerts a force Fprake on the pedal, the result is a force of friction f on the wheel drum and hence a frictional torque about the axle. The master cylinder piston's
cross-sectional area Ame is 1.80 cm2, while the brake cylinder piston's cross-sectional area Anc is 6.40 cm2. The coefficient of friction between the brake shoe and
'mc
the drum is 0.500, and the wheel drum has a radius of 44.3 cm. Determine the frictional torque about the axle when the force exerted on the brake pedal is
41.7 N. (Give the magnitude of your answer in N• m.)
Wheel
drum
Pedal
Shoe
Master
Brake
cylinder cylinder
N• m
Transcribed Image Text:A hydraulic brake system consists of the brake pedal, a master cylinder, a brake cylinder, a brake shoe, and a wheel drum (see the figure below). When the driver exerts a force Fprake on the pedal, the result is a force of friction f on the wheel drum and hence a frictional torque about the axle. The master cylinder piston's cross-sectional area Ame is 1.80 cm2, while the brake cylinder piston's cross-sectional area Anc is 6.40 cm2. The coefficient of friction between the brake shoe and 'mc the drum is 0.500, and the wheel drum has a radius of 44.3 cm. Determine the frictional torque about the axle when the force exerted on the brake pedal is 41.7 N. (Give the magnitude of your answer in N• m.) Wheel drum Pedal Shoe Master Brake cylinder cylinder N• m
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