Estimation
This problem relates to a design competition in which a 1-kg battery-powered vehicle must be propelled up a 0.9-m tall ramp within a 15-second time interval.
a. For a run time of 9 seconds, how much power must the battery supply to the vehicle? What would be a reasonable estimate of the average power flow over a 15-second run time?
b. Suppose that batteries are chosen that can supply only 50 mA of peak current. Such a decision might be made to reduce battery weight and produce a lighter vehicle. If vehicle weight is reduced to 0.5 kg, what power flow can be expected? What will be the peak battery current?
c. If motors are chosen that have 95% efficiency and mechanical losses are 60%, what will be the required battery current?
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