Answer:
The power developed by the man to ride the bicycle at constant speed is 0.2927 hp
Explanation:
Given the data in the question;
weight of cyclist and bicycle W = 220 lb
speed v = 10 mph = 14.6667 ft/s
Angle of inclination θ = tan⁻¹( 5% ) = tan⁻¹( 0.05 ) = 2.86°
Now we calculate the power developed by the man,
Power = W( dh / dθ )
Power = W( vsinθ )
we substitute
Power = 220 lb( 14.6667 ft/s × sin( 2.86 )
Power = 220 lb( 14.6667 ft/s × 0.04989569 )
Power = 160.997 ft.lb/s
Power = 160.997 ft.lb/s ( 1hp / 550 ft.lb/s )
Power = 0.2937 hp
Therefore, The power developed by the man to ride the bicycle at constant speed is 0.2927 hp
