Question

Angular velocity of the motor is 300 rad/sec. Find velocity of wheel for a diameter of
0.3 m and gear ratio of 5. Choose the correct option.
a) 9 km/hr
b) 18 km/hr
c) 32.4 km/hr
d) 64.8 km/hr

Answer 1

Answer:

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Answer 2

Angular velocity of the motor is 300 rad/sec. The velocity of the wheel (diameter of 0.3m) of a gear ratio of 5 is 32.4 km/hr.

• Gear ratio (G) = Diameter of gear / Diameter of pinion

• Gear ratio (G) can also be denoted as the ratio of angular velocity of the pinion (ωp) to the angular velocity of the gear (ωg)

• So, G = ωp / ωg

• Numerically, 5 = 300 / ωg

• On solving, ωg = 300/5 rad/sec = 60 rad /sec.
• Now, v = r * ωg = 60 * 0.15 = 9 m/s
• To convert m/s to Km/hr  we need to multiply by 18/5.
• So, v = 9 * (18/5) = 32.4 Km/hr.