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प्रश्न
The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km/hr. Give your answer, correct to the nearest km.
बेरीज
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उत्तर
Given: The wheel makes 5 revolutions per second and its diameter is 84 cm.
Step-wise calculation:
1. Circumference = π × diameter
Taking π = `22/7`
Circumference = `22/7 xx 84`
= 264 cm
2. Linear speed = Revolutions per second × Circumference
= 5 × 264
= 1320 cm/s
3. Convert to km/hr:
1320 cm/s = 13.2 m/s (since 100 cm = 1 m) and 13.2 m/s × 3.6 = 47.52 km/hr
4. Round to the nearest km:
47.52 ≈ 48 km/hr
The speed of the cart is approximately 48 km/hr.
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