0.1 1. Can you determine the RPM thats required for a DC electric transaxle moto

Question

0.1

1. Can you determine the RPM thats required for a DC electric transaxle motor, such that the mower can maintain the required top speed listed in the table. The radius of the rear wheel is listed in this table as well.

Ariens 42 in 17hp riding mower value Mass with the rider 260kg Rear Wheel radius 20cm Gas engine power 17hp Gas engine max temp 877k Ambient temp 293k Gas engine efficiency 0.5 of Carnot Gas engine RPM 1500RPM Two cutting DC motors, power, each 500W Cutter blade RPM 1000RPM Cutter blade radius 20cm Runtime requirement 2.8hours 1.440 kWh battery mass 27kg Max speed required 3m/s Estimated coefficient of friction while mowing

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Explanation / Answer

here ,

the radius of the rear wheel , r = 20 cm

r = 0.2 m

the top speed of the motor ,v = 3 m/s

the angular speed , w = v/r

w = 15 rad/s

w = 143.31 rpm

the RPM required for a DC electric motor is 143.31 rpm

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