Mechanical Properties of Fluids

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Question

A brass disc, originally at 20°C, has diameter 30cm and a hole of radius 5cm at the centre. Find the circumference of hole at temperature 100°C. The temperature coefficient of linear expansion of brass is l.8 x l0^–5 °C^–1.

Solution

Initial radius of hole is, r = 5 cm
Increase in temperature of disc is,

straight theta equals 100 minus 20 equals 80 degree straight C.

Coefficient of linear expansion of brass is,

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Therefore, radius of hole at 100°C is,

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The circumference of hole at 100°C is,

2 πr space equals space 2 straight pi cross times 5.0072 space equals space 31.461 space cm

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Mechanical Properties Of Fluids

A brass disc, originally at 20°C, has diameter 30cm and a hole of radius 5cm at the centre. Find the circumference of hole at temperature 100°C. The temperature coefficient of linear expansion of brass is l.8 x l0^–5 °C^–1.

Some More Questions From Mechanical Properties of Fluids Chapter

What is time period?

Define frequency.

What is the condition for motion to be simple harmonic motion?

In the displacement equation y = r sin(ωt/ + ϕ) what does ϕ called and what information does it give?

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Is there any relation between uniform circular motion and simple harmonic motion?

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Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

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For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

A brass disc, originally at 20°C, has diameter 30cm and a hole of radius 5cm at the centre. Find the circumference of hole at temperature 100°C. The temperature coefficient of linear expansion of brass is l.8 x l0–5 °C–1.

Some More Questions From Mechanical Properties of Fluids Chapter

What is time period?

Define frequency.

What is the condition for motion to be simple harmonic motion?

In the displacement equation y = r sin(ωt/ + ϕ) what does ϕ called and what information does it give?

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A brass disc, originally at 20°C, has diameter 30cm and a hole of radius 5cm at the centre. Find the circumference of hole at temperature 100°C. The temperature coefficient of linear expansion of brass is l.8 x l0^–5 °C^–1.