A wheel of radius 1 m covers an angular displacement of 180o. Its linear dispacement is
Correct answer: A. 3.14m
- A. 3.14m
- B. 6.28m
- C. πrad
- D. 9.157m
Explanation
When a wheel of radius 1 meter covers an angular displacement of 180 degrees, the linear displacement can be calculated using s = θ * r. First, convert 180 degrees to radians: θ = 180 degrees * (π radians / 180 degrees) = π radians. Then, calculate the linear displacement: s = π radians * 1 meter = π meters. Therefore, the correct answer is 3.14m. Option B is incorrect as it doubles the correct answer. Option C is incorrect as it only provides the result in radians. Option D is incorrect as it miscalculates the linear displacement.S = rθ = 1 x π = πm = 3.14mθ = 180° θ = 180° x (π/180°) = π rad
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