Question 6

The diameter of the driving wheel of a cart is 154 cm. Calculate the revolution per minute [RPM] of the wheel in order to keep a speed of 33 Kilo meter per hour.

Solution

Diameter of driving wheel = 154 cm

=> Circumference (1 revolution) of wheel = $$2\pi r$$

= $$2\times\frac{22}{7}\times77=484$$ cm

=> In 1 minute, the wheel covers = 4.84 m

Thus, in 1 hour, distance covered = $$4.84\times60=290.4$$ m

$$\therefore$$ In order to keep a speed of 33 km/hr, rpm = $$\frac{33}{0.2904}=113.63\approx114$$

=> Ans - (A)

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