A particle travels in a circle of radius 20 cm at a speed that uniformly increases. If the speed changes from 5.0 ms⁻¹ to 6.0 ms⁻¹ in 2.0 s, find the…
Source: JAMB · 2024
A particle travels in a circle of radius 20 cm at a speed that uniformly increases. If the speed changes from 5.0 ms⁻¹ to 6.0 ms⁻¹ in 2.0 s, find the angular acceleration.
Explanation
The speed rises uniformly, so the tangential acceleration is a = Δv ÷ t = (6.0 − 5.0) ÷ 2.0 = 0.5 ms⁻².
Angular acceleration α = a ÷ r. The radius is 20 cm = 0.20 m.
α = 0.5 ÷ 0.20 = 2.5 rads⁻².
Forgetting to convert 20 cm to metres would give a wrong answer of 0.025.
Was this explanation helpful?
Something wrong or missing? Tell us — we read every report and fix issues fast.