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THE VELOCITY OF WATER IN A RIVER IS 18km/hr NEAR THE SURFACE.IF THE RIVER IS 5M DEEP,FIND THE SHEARING STRESS BETWEEN THE HORIZONTAL LAYERS OF WATER.THE COEFFICIENT OF VISCOSITY OF WATER IS 10POWER-2 POISE.

THE VELOCITY OF WATER IN A RIVER IS 18km/hr NEAR THE SURFACE.IF THE RIVER IS 5M DEEP,FIND THE SHEARING STRESS BETWEEN THE HORIZONTAL LAYERS OF WATER.THE COEFFICIENT OF VISCOSITY OF WATER IS 10POWER-2 POISE.

Grade:12

2 Answers

Vasantha Kumari
askIITians Faculty 38 Points
7 years ago

Since we are given the velocity at surface at 18 km/hr and hence velocity gradient dv/dx = 18 km/hr / 5m = 1.0 per second

But viscous force F = h A dv/dx

h = 10–3 Pa s (Since 1 poise = 0.1 Pa s and 10–2 poise = 10–3 Pa s)

F/A = h dv/dx

Shearing stress or viscous force per unit area = 10–3 x 1.0 = 10–3 Nm–2

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty

ankit singh
askIITians Faculty 614 Points
11 months ago
THE VELOCITY OF WATER IN A RIVER IS 18km/hr NEAR THE SURFACE.IF THE RIVER IS 5M DEEP,FIND THE SHEARING STRESS BETWEEN THE HORIZONTAL LAYERS OF WATER.THE COEFFICIENT OF VISCOSITY OF WATER IS 10POWER-2 POISE.

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