Physics · Circular Motion & Momentum

The correct answer is 3.14 m. The linear displacement of the wheel can be calculated using the formula S = rθ, where r is the radius and θ is the angular displacement in radians. Given that the radius r = 1 m and the angular displacement θ = 180 degrees, which is equal to π radians, the calculation is straightforward: S = 1 m × π = 3.14 m. Option B is incorrect because it uses radians, which is a unit for angular displacement, not linear displacement. Option C is incorrect as it doubles the correct value, likely confusing the full circle (2π radians) with half a circle (π radians). Option D is incorrect due to a miscalculation.

This is the correct answer. The formula for linear displacement, S, is given by S = rθ, where r is the radius and θ is the angular displacement in radians. Here, S = 1m × π = 3.14 m.

This is incorrect because radians are a unit of angular displacement, not linear displacement. The linear displacement should be in meters.

This value is incorrect. It mistakenly doubles the correct linear displacement. The correct calculation yields 3.14 m.

This is incorrect. It is a miscalculation of the linear displacement. The correct value is 3.14 m.