Question

A glass sphere of radius 3.1 mm is dropped into a lake. What is the terminal...

A glass sphere of radius 3.1 mm is dropped into a lake. What is the terminal velocity of the sphere? (Include buoyancy assuming that the density of water is 1000 kg/m3.)

The viscosity of water is 0.001 N*s/m^2

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution.

Solution ! These problem in borsed on stokes laca FB fo E V F = GA NIV - Drag force FB Pangany force mg A to spg W= mga un no

Add a comment
Know the answer?
Add Answer to:
A glass sphere of radius 3.1 mm is dropped into a lake. What is the terminal...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • I would like a step by step solution please. Calculate the terminal velocity of two steel...

    I would like a step by step solution please. Calculate the terminal velocity of two steel balls falling through water. The diameters of the two balls are a) cm and b)10cm. Also calculate the Reynolds number for the 10cm sphere. The forces acting on each sphere are gravity, buoyancy and drag Setting up the force equation mg At terminal velocity, the acceleration is zero, as is the net force. Vpsg-Vpwg- 0 1.003 x 10-3 Pa s for water at 20°C...

  • could you please make clear answer? 2. A plastic sphere with 4mm in diameter is dropped...

    could you please make clear answer? 2. A plastic sphere with 4mm in diameter is dropped into water. The terminal velocity of the sphere in water is to be determined. Assumptions 1 The fluid flow over the sphere is laminar (to be verified). 2 The drag coefficient remains constant. Properties The density of plastic sphere is 1150 kg/m . The density and dynamic viscosity of water at -3 20°C are ρ-998 kg/mand μ-1.002x10 kg/ms. respectively. The drag coefficient for a...

  • A hollow sphere of mass 110 kg is chained to the bottom of a lake such...

    A hollow sphere of mass 110 kg is chained to the bottom of a lake such that the sphere floats 30 meters above the bottom of the lake with the chain tight. The total depth of the lake is 122 meters at the location where the sphere is chained. The density of water is 1000kg/m3. The radius of the hollow sphere is 1 meter. 1. The density of rock is approximately 2300kg/m3. If a spherical rock of radius 25 cm...

  • You drop a steel ball bearing, with a radius of 3.40 mm, into a beaker of...

    You drop a steel ball bearing, with a radius of 3.40 mm, into a beaker of honey. Note that honey has a viscosity of 4.00 Pa/s and a density of 1360 kg/m3, and steel has a density of 7800 kg/m3. Assume that g = 9.8 m/s2. Aluminum has a density of 2700 kg/m3. What radius should an aluminum ball have to have the same terminal speed in honey that the steel ball has?

  • A jar containing 3.1 kg of mercury is dropped into a lake that is 43,000 ft2and...

    A jar containing 3.1 kg of mercury is dropped into a lake that is 43,000 ft2and has an average depth of 4.2 ft. Water flows into and out of the lake at 1.6 ft3/s maintaining a constant volume. Assuming the mercury completely dissolves (very poor assumption in reality) and that the lake is completely mixed, what is the mercury concentration in the lake (in mg/L) (a) immediately after the exposure and (b) 5 days later. (c) How long would it...

  • The drag force Fp on a smooth sphere falling in water depends on the sphere speed...

    The drag force Fp on a smooth sphere falling in water depends on the sphere speed V, the sphere density P. the density p and dynamic viscosity of water, the sphere diameter Dand the gravitational acceleration g. Using dimensional analysis with p. V and D as repeating variables, determine suitable dimensionless groups to obtain a reneral relationship between the drag force and the other variables. If the same sphere were to fall through air, determine the ratio of the drag...

  • A adult with a mass of 30kg jumps into a swimming pool tucked into a ball-like...

    A adult with a mass of 30kg jumps into a swimming pool tucked into a ball-like shape, with a radius of 30 cm, a velocity of 0.11 m/s (was calculated to find buoyancy), buoyancy force of 1078 N and a gravity force of -294 N. With this information, calculate the terminal velocity of the adult still balled up as he sinks in the pool *density: 1000 kg/m^3 *viscosity: 8.9*10^-4 kg/ms *gravity: 9.8 m/s^2 *Please answer this to the best of...

  • 1.) Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.94 µm) falling in...

    1.) Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.94 µm) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 ✕ 103 kg/m3. (Assume the viscosity of water is 1.002 ✕ 10−3 kg/(m · s).

  • Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find...

    Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find the terminal speed of the spherical bacterium in meters per second, ignoring the buoyant force on the bacterium and assuming Stokes' law for the viscous force. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.3 × 103 kg/m3. The viscosity of water at 20 °C is...

  • Question 1: A grain of sand (p 1690 kg/m3) that has a 1.5 mm diameter falls...

    Question 1: A grain of sand (p 1690 kg/m3) that has a 1.5 mm diameter falls into a saltwater pond that is 12 m deep. The saltwater has a density of ?-1024 kg/m3 and a viscosity of ? = 0.960P. Calculate how much time (in seconds) it will take the sand grain to hit the bottom of the pond. Assume that the grain achieves its terminal velocity almost immediately after being dropped.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT