HSC Science (General) 12th Board ExamMaharashtra State Board
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A Vehicle is Moving on a Circular Track Whose Surface is Inclined Towards the Horizon at an Angle of 10°. the Maximum Velocity with Which It Can Move Safely is 36 Km / Hr. Calculate the Length of the Circular Track - HSC Science (General) 12th Board Exam - Physics

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Question

A vehicle is moving on a circular track whose surface is inclined towards the horizon at an angle of 10°. The maximum velocity with which it can move safely is 36 km / hr. Calculate the length of the circular track. [π = 3.142]

Solution

Given `v=36kmh^-1=36xx5/18=10m/s, theta=10^@`

To Find: Length of circular track s(l)

formulae: `r=(v_max^2)/(g tan theta)`

`r=(10^2)/(9.8xxtan 10^@)`

`=57.88 m`

`l=2piR=2xx3.14xx57.88=363.48m`

The length of the circular track is 363.48 m.

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APPEARS IN

 2016-2017 (March) (with solutions)
Question 3.4 | 3.00 marks

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Solution A Vehicle is Moving on a Circular Track Whose Surface is Inclined Towards the Horizon at an Angle of 10°. the Maximum Velocity with Which It Can Move Safely is 36 Km / Hr. Calculate the Length of the Circular Track Concept: Uniform Circular Motion.
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