What is terminal velocity derive an expression for it
Asked by admin @ in Physics viewed by 326 People
Derive the expression of terminal velocity.
Answered by admin @
Hi
Here is ur answer
STATEMENT:
# The maximum constant velocity acquired by a body while falling through a viscous medium is called its Terminal Velocity.
# It is attained when force of resistance of a medium is equal and opposite to the force of gravity.
DERIVATION:
Expression for terminal velocity,
V = Vt
Density of a sphere = ρ
Density of a viscous fluid = σ
Density of a sphere rolling on a viscous force = ( ρ - σ )
Volume of the sphere = 4 /3 πr³
Viscous force = mg
6πηrv = mg
6πηrv = ( d × v ) g
6πηrv = ( ρ - σ )4 /3 πr³
Here π and r will get cancelled out,
6ηv = ( ρ - σ )4 /3 r²g
v = ( ρ - σ )4 /3 r²g × 1 /6η
= ( ρ - σ ) 2r²/9η .g
Therefore,
V = 2r² ( ρ - σ ) g / 9η
Hope it helps U
Similar Questions
Define terminal velocity derive an expression for it
Asked by admin @ in Physics viewed by 311 persons
Derive the expression of terminal velocity.
Define orbital velocity and derive an expression for it
Asked by admin @ in Physics viewed by 298 persons
Derive an expression for the orbital velocity of a satellite.
What is escape velocity derive an expression for it
Asked by admin @ in Physics viewed by 300 persons
What is escape velocity? obtain an expression for it ( complete dedivation)
Define drift velocity and derive an expression for it
Asked by admin @ in Physics viewed by 315 persons
Define drift velocity and derive an expression for it
Define escape velocity and derive an expression for it
Asked by admin @ in Physics viewed by 310 persons
What is escape velocity? obtain an expression for it ( complete dedivation)
Derive an expression for orbital velocity of a satellite
Asked by admin @ in Physics viewed by 272 persons
Derive an expression for the orbital velocity of a satellite.
Derive an expression for joules law of heating
Asked by admin @ in Physics viewed by 366 persons
derive an expression for joule law of heating. give two example for application of haeting effect of electric current
Derive an expression for coulomb's law in vector form
Asked by admin @ in Physics viewed by 367 persons
Topic-physics
question: derive an expression for coulomb law in vector form.✔✅❌❎❌❎don't spam❌❎❎❌
Derive expression for capacitance of a parallel plate capacitor
Asked by admin @ in Physics viewed by 354 persons
What is a parallel plate capacitor. Derive an expression for its capacitance?
State the universal law of gravitation derive its expression
Asked by admin @ in Physics viewed by 312 persons
State the universal law of gravitation and derive its expression
Define radius of gyration derive an expression for it
Asked by admin @ in Physics viewed by 314 persons
Define 'Radius of Gyration'. Derive an expression for it.
State stokes law and derive an expression for it
Asked by admin @ in Physics viewed by 426 persons
state Stokes law derive an expression for the terminal velocity of a sphere falling through a viscous fluid
Derive the mathematical expression for first law of thermodynamics
Asked by admin @ in Physics viewed by 343 persons
Derive first law of thermodynamics mathematically
Derive an expression for pressure of an ideal gas
Asked by admin @ in Physics viewed by 369 persons
Derive expression for the pressure exerted by an ideal gas on basis of kinetic theory of gases.
Derive the expression for time period of simple pendulum
Asked by admin @ in Physics viewed by 290 persons
Derive an expression for time period of a simple pendulum.
Most viewed questions in Physics
Jeevandeep health and physical education std 10 answers pdf
Asked by admin @ in Physics viewed by 11074 persons
Hc verma physics class 9 solutions of describing motion
Asked by admin @ in Physics viewed by 2673 persons
Base area and stability of some objects with different shapes
Asked by admin @ in Physics viewed by 1533 persons
Which of the following statements about safe lifting are correct
Asked by admin @ in Physics viewed by 1518 persons
A rocket of mass m is launched straight up with thrust f⃗ thrust.
Asked by maham237 @ in Physics viewed by 1318 persons
A hair dryer with a resistance of 9.6 ohms operates at 120 volts for 2.5 minutes. the total electrical energy used by the dryer during this time interval is
Asked by maham237 @ in Physics viewed by 1208 persons
Mind map for light reflection and refraction class 10
Asked by admin @ in Physics viewed by 1150 persons
The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0.50 m. what is the intensity of its sound (in w/m2) as heard by someone standing 3.1 m away? express your answer in watts per meter squared.
Asked by maham237 @ in Physics viewed by 1102 persons
A 5.8 x 10 4 watt elevator motor can lift
Asked by maham237 @ in Physics viewed by 1083 persons