Respuesta :
Answer:
a) 207.34 cm
b) 622 cm
c) 497.60 m/min
d) 4.02 min
Step-by-step explanation:
Radius of bike = 33 cm
Rear sprocket = 14 teeth
Pedal sprocket = 42 teeth (missing information in the question)
Transmission gear ratio = 42/14 = 3
a) How far does the bike travel for each complete revolution of the 14 tooth rear sprocket?
Distance traveled with rear wheel is
D = 2*π*r =2*π*33 = 207.34 cm
b) How far does the bike travel for each complete revolution of the front pedal sprocket?
Distance traveled with front pedal is
D = Transmission gear ratio * Distance traveled with rear wheel
D = 3*207.34 = 622 cm
c) If the rider pedal is at an angular velocity of 80 rpm, how far will she travel in one minute?
D = 80*622 = 49760 cm or 497.60 meters per min
Therefore, the rider will travel 497.60 m/min at an angular velocity of 80 rpm.
d) How long will the rider need to pedal at 80 rpm to travel 2 kilometers?
t = Distance/rate
t = 2000/497.60 = 4.02 min
Therefore, it will take the rider 4.02 mins to pedal at 80 rpm to travel 2 km.
