The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross section area 500 mm 2 is 30 cm s - 1 . At that instant, d h d t i

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The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross section area 500 mm 2 is 30 cm s - 1 . At that instant, d h d t is x &#215; 10 - 3 m s - 1 . The value of x will be ______.

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Using continuity equation A 1 v 1 = A 2 v 2 We have, 750 &#215; 10 - 4 v 1 = 500 &#215; 10 - 6 &#215; 0 . 3 v 1 = 500 &#215; 3 &#215; 10 - 3 750 &#160; = 2 &#215; 10 - 3 &#160; m &#160; s - 1 Thus, d h d t = - 2 &#215; 10 - 3 &#160; m &#160; s - 1 Hence, the value of x = 2 .

The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross section area 500 mm 2 is 30 cm s - 1 . At that instant, d h d t is x × 10 - 3 m s - 1 . The value of x will be ______.

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More from Mechanical Properties of Fluids

The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross section area 500 mm 2 is 30 cm s - 1 . At that instant, d h d t is x &#215; 10 - 3 m s - 1 . The value of x will be ______.

Correct answer

Step-by-step solution

More from Mechanical Properties of Fluids

The surface of water in a water tank of cross section area 750 cm 2 on the top of a house is h m . above the tap level. The speed of water coming out through the tap of cross section area 500 mm 2 is 30 cm s - 1 . At that instant, d h d t is x × 10 - 3 m s - 1 . The value of x will be ______.