derive the expression for vehicle along a horizontal circular motion
Answers
Answered by
46
Hey mate here is your answer
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Explanation:
When a boby (vehicle) travelling along a circular path means circumference of a circle then the distance travelled by it be
The time taken to complete the revolution is called Time period.
We know that,
velocity = distance or displacement / Time taken
v=d/t
Now, put the value of d that is circumference of circle
we got:
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Answered by
13
Answer:
The maximum safe speed is v = √μrg
Explanation:
- The centrifugal acting on the vehicle has to be equal to the frictional force
- Fc = mv^2/r, where m is the mass of the vehicle, v is the velocity of the vehicle and r is the radius of the horizontal circle
- Frictional force Fs is given by Fs = μN
- N is the normal force acting on the vehicle
- In this case, N is equal to the weight of the vehicle which is the product of mass and acceleration due to gravity
- N = mg
- Fs = μN = μmg
- Fc = Fs
- μmg = mv^2/r
- μg = v^2/r
- μrg = v^2
- v = √μrg
The maximum safe speed for a vehicle along a horizontal circular motion is √μrg.
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