Find vmax and vmin when the road is blanked with Vsafe=36km/hr,R=20m,

1.	Find vmax and vmin when the road is blanked with Vsafe=36km/hr,R=20m, µ=0.4
Answer» Answer: Radius (r) = 20 m. Speed (v) = 36 km/hr = 10 m/s. Coefficient of the Static Friction(u)= 0.4 tan α = v²/RG ⇒ α = tan⁻(1/2) Therefore, SIN α = 1/√5 and Cosα = 2/√5 Using the Formula, V max. = \sqrt{\frac{rg(Sin\alpha + uCos\alpha)}{Cos\alpha - uSin\alpha} On Solving it, V max. = 15 m/s. = 54 km/hr. V min. = \sqrt{\frac{rg(Sin\alpha - uCos\alpha)}{Cos\alpha + uSin\alpha} On Solving, V min. = 14 km/hr. Therefore, Possible speeds of the Vehicle so that it neither SLIPS down nor skids up is 14 km/hr to 54 km/hr. Hope it HELPS.

Find vmax and vmin when the road is blanked with Vsafe=36km/hr,R=20m, µ=0.4

Answer»

Answer:

Radius (r) = 20 m.

Speed (v) = 36 km/hr = 10 m/s.

Coefficient of the Static Friction(u)= 0.4

tan α = v²/RG

⇒ α = tan⁻(1/2)

Therefore, SIN α = 1/√5 and Cosα = 2/√5

Using the Formula,

V max. = \sqrt{\frac{rg(Sin\alpha + uCos\alpha)}{Cos\alpha - uSin\alpha}

On Solving it,

V max. = 15 m/s. = 54 km/hr.

V min. = \sqrt{\frac{rg(Sin\alpha - uCos\alpha)}{Cos\alpha + uSin\alpha}

On Solving, V min. = 14 km/hr.

Therefore, Possible speeds of the Vehicle so that it neither SLIPS down nor skids up is 14 km/hr to 54 km/hr.

Hope it HELPS.

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