When a wheel of 1m in diameter makes 30rev/min, the linear speed of point on its rim in ms-1 is
Correct answer: B. π/2
- A. 2π
- B. π/2
- C. 3π
- D. 4π
Explanation
To find the linear speed of a point on the rim of a wheel with a 1-meter diameter when it's making 30 revolutions per minute, you first convert the angular velocity to radians per second. Then, use the formula for linear velocity in terms of angular velocity and radius to calculate the linear speed. The correct answer is π/2, as the linear speed is approximately 1.57 meters per second. Options A, C, and D are incorrect as they do not align with the correct calculations based on the given parameters.v = rω⇒ v = (1/2) × (30 × 2π) / 60⇒ v = π/2 m s⁻¹
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