A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

70.6⁰C

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75.6⁰C

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80.6⁰C

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78.6⁰C

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Solution

The correct option is B
75.6⁰C

let θ be the temperature to which the ring must be heated.
Final diameter of ring should be 3.002 inch.

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Similar questions

A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

Q. The inner diameter of a brass ring at

273 K

5 c m

.To what temperature should it be heated for it to accommodate a ball

5) 01 c m

in diameter.

(α = 2 \times 10^{- 5} /^{o} C)

Q. At

30^{\circ} C

, the hole in a steel plate has diameter of 0.99970 cm. A cylinder of diameter exactly 1 cm at

30^{\circ} C

is to be slide into the hole. To what temperature the plate must be heated ?
(Given:

α_{s t e e l} = 1.1 \times 10^{- 5} /^{o} C

)

Q. A steel rod is 3.000 cm in diameter at

25^{\circ} C

. A brass ring has an interior diameter of 2.992 cm at

25^{\circ} C

. At what common temperature will the ring just slide on to the rod.

α_{s t e e l} = 12 \times 10^{- 6} K^{- 1}

and

α_{b r a s s} = 18 \times 10^{- 6} K^{- 1}

An iron ring measuring $15.00 c m$ in diameter is to be shrunk on a pulley which is $15.05 c m$ in diameter. All measurements are done at a room temperature of $20^{\circ} C$ . To what minimum temperature should the ring be heated to make the job possible? Calculate the strain developed in the ring when it comes to the room temperature. Coefficient of linear expansion of iron = $12 \times 10^{- 6} /^{\circ} C$ .

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A steel ring of 3.000 inch inside diameter at 200C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 200 C. To what temperature should the ring be heated? (αsteel= 1.1 ×10-50C-1)

The correct option is B 75.60Clet θ be the temperature to which the ring must be heated.Final diameter of ring should be 3.002 inch.

A steel ring of 3.000 inch inside diameter at 20⁰C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20⁰ C. To what temperature should the ring be heated? (α_steel= 1.1 ×10^-50C^-1)

The correct option is B
75.6⁰C

let θ be the temperature to which the ring must be heated.
Final diameter of ring should be 3.002 inch.