A body is moving on a circle of radius 80 m with a speed 20 m/s which is decreasing at the instant 5m/s 2 what is its acceleration with its Velocity
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• aⁱ = 5 ms⁻²
• aᶜ = v² / r = 20 × 20 / 80 = 5 ms⁻²
Then,
Angle made by aᴺᴱᵀ = aⁱ / aᶜ = 5 / 5 = 1
∵ They're in same direction.
∴ tan ϴ = 1 i.e. ϴ = 45°
Hence,
Angle made by acceleration with velocity is 45°
Cheers!
• aⁱ = 5 ms⁻²
• aᶜ = v² / r = 20 × 20 / 80 = 5 ms⁻²
Then,
Angle made by aᴺᴱᵀ = aⁱ / aᶜ = 5 / 5 = 1
∵ They're in same direction.
∴ tan ϴ = 1 i.e. ϴ = 45°
Hence,
Angle made by acceleration with velocity is 45°
Cheers!
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