The velocity of upper layer of water in a river is 36kmh^-1. Shearing stress between horizontal layers of water is 10^-3 Nm^-2. Depth of the river is……..m. (Co-efficient of viscosity of water is 10^-2 Pa.s)

<p><math><mrow><mi>τ</mi><mo>=</mo><mi>η</mi><mfrac><mrow><mi>v</mi></mrow><mrow><mi>h</mi></mrow></mfrac></mrow></math></p><p>Given</p><p><math><mrow><mi>τ</mi><mo>=</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mi>N</mi><mo>/</mo><msup><mrow><mi>m</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></p><p> (shear stress)</p><p>h =? </p><p>v = 36 km/hr = 10 m/sec</p><p><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mo>=</mo><mfrac><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mo>×</mo><mn>1</mn><mn>0</mn></mrow><mrow><mi>h</mi></mrow></mfrac></mrow></math></p><p>h = 100 m</p>

0 Upvotes 0 Upvotes 0 Downvotes

• • Report Abuse
• Comment