Question

A park has a radius of 10 m. If a vehicle goes round it at an average speed of 18 km/hr, what should be the proper angle of banking?

Answer 1

Given conditions ⇒

Radius of the Park = 10 m.

Average Speed = 18 km/hr = 5 m/s.

We know that the Angle of the Banking will be equal to the,

tanθ = v²/rg where θ is the angle of the Banking.

⇒   tanθ = v²/rg

⇒ tanθ = (5)²/10 × 10

⇒ tanθ = 0.25

∴ θ = tan⁻¹ (0.25)

∴ Proper angle of Banking is tan⁻¹ (0.25).

Hope it helps.

Answer 2

The proper angle of banking is tan⁻¹ (0.25).

Explanation:

Given conditions:

Radius of the Park = 10 m.

Average Speed = 18 km/hr = 5 m/s.

We know that the Angle of the Banking will be equal to the,

tanθ = v²/rg where θ is the angle of the Banking.

⇒ tanθ = v²/rg

⇒ tanθ = (5)²/10 × 10

⇒ tanθ = 0.25

θ = tan⁻¹ (0.25)

Proper angle of Banking is tan⁻¹ (0.25).

Thus the proper angle of banking is tan⁻¹ (0.25).