Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ... of 1 in 7. When a certain side gallery branches off it is exactly 1000 feet beneath the sea. Write a formula that shall give the depth (D) of points at a given distance (d) from this place. Use it to find the depth at a place (i) 490 yards before you reach the place in question from the shaft, (ii) 1400 yards farther on. 25. It is said that after a certain depth the temperature of the earth beneath England increases 1 F. for every 50 feet that you descend towards the centre of the earth. At a depth of 3000 feet it is 110. Write a single formula which shall give the temperature (T) at a point distant d feet below or above this point. Use the formula to calculate the temperature at a depth of (i) 4000 feet, (ii) 1800 feet below the surface. 26. Write another formula expressing the temperature at a depth d below the surface. Use this formula to calculate the temperature at the depths mentioned in the last question. Do your results agree? 27. Write a third formula by which the depth from the surface (d) can be calculated when the temperature (T) is given. Use it to calculate the depth where the temperature is (i) 160, (ii) 85. 28. Draw a graph corresponding to the formula of No. 27. Show how you can use it to answer the questions of No. 25. How would the graphs corresponding to the formulae of Nos. 25 and 26 differ from this one? 29. It may be taken that the barometer falls practically OH inch for every 100 feet you rise so long as the total ascent does not much exceed 2000 feet. At a village on the side of a Welsh mountain 750 feet above the sea the barometer stands to-day at 29 8 inches. Write a formula giving the heights of the barometer (B) at places on the mountain d feet higher or lower than the village. Use the formula to calculate the height of the bar...
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