What is the viscous force on a sphere

Assignment Help Physics

Reference no: EM13546568

When an object moves through a fluid, the fluid exerts a viscous force on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes' law, F = 6??Rv, where ? is the viscosity of the fluid.

(a) What is the viscous force on a sphere of radius R = 4.90 10-4 m that is falling through water (? = 1.00 10-3 Pa · s) when the sphere has a speed of 3.4 m/s?

_____ N

(b) The speed of the falling sphere increases until the viscous force balances the weight of the sphere. Thereafter, no net force acts on the sphere, and it falls with a constant speed called the "terminal speed." If the sphere has a mass of 1.03 10-5 kg, what is its terminal speed?

_____ m/s

Reference no: EM13546568

Questions Cloud

A transparent oil with index of refraction : A transparent oil with index of refraction 1.28 spills on the surface of water (index of refraction 1.33), producing a maximum of reflection with normally incident green light (wavelength 500 nm in air). Assuming the maximum occurs in the first order..

How far downstream is the boat when it reaches north shore : A river flows due east at 1.51 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.8 m/s due north relative to the water. (a) What is the velocity of the boat as viewed by an observer on the ..

What amount of equity method income would russell recognize : What amount of equity method income would Russell recognize in 2011 from its ownership interest in Thacker and what is the equity method balance in the Investment in Thacker account at the end of 2011?

An inventor claims to have a heat engine : An inventor claims to have a heat engine that has an efficiency of 40% when it operates between a high temperature reservoir of 150? C and a low temperature reservoir of 30? C. This engine:

What is the viscous force on a sphere : When an object moves through a fluid, the fluid exerts a viscous force on the object that tends to slow it down. What is the viscous force on a sphere of radius R = 4.90 10-4 m that is falling through water

Explain how much would it cost to give the statue : An artist statue has a surface area of 14.6 feet squared. the artist plans to apply gold plates to the statue and wants the coating to be 2.5 micrometers thick. If the price of gold were $625.10 per troy ounce, how much would it cost to give the s..

Prepare a summary journal to record raw material used : Prepare a summary journal to record raw material used

Prepare a production budget and a direct labor budget : Prepare a production budget and a direct labor budget for Donnegal Company by month and for the first quarter of the year. The direct labor budget should include direct labor hours

Calculate how much will spill over when temperature rises : The average coefficient of volume expansion for carbon tetrachloride is 5.81 10-4 (°C)?1. how much will spill over when the temperature rises to 29.0°C

User Account

All Pages