Home
Class 12
PHYSICS
a large steel wheel is to be fitted on t...

a large steel wheel is to be fitted on to a shaft of the same material. At `27^(@)C`, the outer diameter of the shaft is `8.70cm` and the diameter of the central hole in the wheel is `8.69cm` . The shaft is cooled using 'dry ice' , At what temperature of the shaft does the wheel slip on the shaft? Assume coefficient of linear expansion of the steel to be constant over the required temperature range: `alpha_(steel) = 1.20xx10^(-5)K^(-1)`.

A

`68.8^@C`

B

`-68.8^@C`

C

`67.7^@C`

D

`67.8^@C`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the diameter of a wheel whose circumference is 264 cm.

Find the diameter of a wheel whose circumference is 176 cm.

The diameter of a wheel of a car is 77cm. Find the distance covered by the wheel in 500 revolutions.

The diameter of a wheel of a car is 70 cm. find the distance covered by the car during the time in which the wheel makes 1000 revolutions.

The diameter of a wheel of a car is 63cm. Find the distance travelled by the car during the period,the wheel makes 1000 revolutions.

A copper collar is to fit tightly about a steel shaft that has a diameter of 6 cm at 20^@C . The inside diameter of the copper collar at the temperature is 5.98cm If the breaking stress of copper is 230 N//m^2 , at what temperature will the copper collar break as it cools?

The diameter of a toy wheel is 14 cm. What is the distance travelled by it in 15 revolutions ?

A hollow shaft is found to be stronger than a solid shaft made of same equal material.