Question

Que 1.2) 1) A vehicle needs to run continuously at 60 kmph and should have a peak torque of 150 Nm. A motor gives peak torque of 25 NM at 3000 rpm. 7) If the gear ratio is given by the expression: "n:1", compute the value of 'n
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Answer 1

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Answer 2

Concept:

• Gear ratio is the ratio of power output to the power input
• The ratio of the number of rotations made by the driver gear and the driven gear is known as the gear ratio

Given:

• Speed of the vehicle = 60 km/h = 50/3 m/s
• Output torque = 150 Nm
• Input torque = 25 Nm

Find:

• The gear ratio
• The value of n

Solution:

Power = Torque * angular velocity

Power = Torque * 2πf

Output power = Output torque * 2πf

Output power = 150 Nm * 2πf

Input power = Input torque * 2πf

Input power = 25 Nm * 2πf

Gear ratio = output power/ input power

Gear ratio = 150 Nm * 2πf / 25 Nm * 2πf

Gear ratio = 6

Gear ratio = n:1 = 6: 1

The value of n is 6.

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