There's a discussion on reddit about an elevator not just in free fall, but at terminal velocity. I know that at the moment the elevator starts to fall, you would feel weightless. But does this hold true for terminal velocity as well? You have stopped accelerating, so you are experiencing a...
I started taking MIT's online physics course a couple of days ago, and since I have no physics background at all, I'm getting a bit confused with dimensional analysis.
I'm trying to find a formula for the terminal velocity of a rocket, using air density ρ, gravity g, area of rocket affected by...
Homework Statement
So I have a set of data, velocity and time, of a falling object. So the question is: how can I get the value for the terminal speed?
Homework Equations
Since we're talking about terminal velocity an ecuation that descrives a Velocity vs time graph should be of the...
Homework Statement
An object moving in a liquid experiences a linear drag force: D =(bv, direction opposite the motion), where b is a constant called the drag coefficient. For a sphere of radius R, the drag constant can be computed as b = 6 pi n R, where n is the viscosity of the liquid...
Hey guys, this is my er...first post.
It's a first year university physics assignment that I'm having a bit of trouble with, any help will be rewarded with kind words!(bit of an empty gift, but it's all I have)
Ok, here's the problem.
The terminal velocity of a mass m, moving at ‘high speeds’...
Homework Statement
A 4.5 kg metal sphere is released in a fluid where k = 10.5 N s^2/m^s. How long does it take to reach 90% of its terminal velocity?
Homework Equations
Force of drag = kv^2, where k is the drag coefficient
(I believe we're not considering buoyancy.)
The Attempt at a Solution...
Homework Statement
How would the graph of position vs. time for a single cone change under each of the following conditions?
1)the cone's mass was increased but its shape was kept the same.
2)the cone's mass was kept the same but its diameter was increased.
3)the cone fell through...
This is a simple problem.
Picture a ball dropping from great height such that it reaches terminal velocity.
Its KE will not increase anymore, but mgh is still being lost. That energy has to go somewhere.
1) My friend and I believe the energy is lost to heating the surrounding fluid (what a...
Hi everyone, I am doing a lab report about free fall, but I have to find the terminal velocity for the balloon, but I don't know if I can use the formula velocity = Distance / Time because I have 10 measures from free fall ( 0.2 m - 2 m) , and I have the time that it took to hit the ground...
I am curious if there is a terminal velocity for an object in free fall in a gravitational field based on the strength of that field. If I was falling to Earth and there was no atmosphere, and I had infinite time to fall(Meaning I'd never actually reach the surface) would the strength of Earth's...
On a recent drop, one of the parachutes holding a supply package didn’t open. If the mass of the package was 35 kg and the drag or air resistance factor was 0.8 kg/m, at what speed did the package reach terminal velocity?
I am confused with this question mainly because of the unit used for...
Homework Statement
k: constant
v: velocity
m: mass
g: gravity
Homework Equations
Vt= √(2mg/CρA)
F=ma
The Attempt at a Solution
part a.
part b.
I do not know if i am doing this right and i do not understand how to do part c. If you know how to do this please explain
Homework Statement
Calculate the terminal velocity for a pollen grain falling through the air using the drag force equation. Assume the pollen grain has a diameter of 7 µm and a density of 0.3 g/cm3.
Homework Equations
Vterm= sq.rt of 2mg/pA
Volume= 4/3pi*r^2
Density = m/v
The...
Terminal Velocity In Glycerin 2.10 in "Classical Mechanics"
Homework Statement
For a steel ball bearing (diameter 2mm and density 7.8g/cm3) dropped in glycerin (density 1.3g/cm3 and viscosity 12 N s/m2 at STP) the dominant drag force is linear drag given by flin = 3*pi*n*D*v where D is the...
Homework Statement
What is a formula I can use to calculate time to reach terminal velocity? Must account for air resistance during the time it took to reach terminal velocity.
Known:
mass of object
density of object
radius of object
magnitude of terminal velocity
height of...
Homework Statement
A 100kg skydiver has a terminal velocity of 58 m/s. Assuming air resistance of the skydiver is Fair=.3(v)2, how long will it take the skydiver to reach 58 m/s?
gravity is 10 m/s2 in our class btw.
Homework Equations
Fair=.3(v)2
Fg=mgThe Attempt at a Solution
I know the air...
I am looking for an estimated terminal velocity of a 20 lb bowling ball falling through 40,000 feet. I have looked at the equation, but am not sure what to use for the drag coefficient. Thanks for any help.
hi gang,
from wikipedia...
Mathematically, terminal velocity — without considering the buoyancy effects — is given by
where
Vt = terminal velocity,
m = mass of the falling object,
g = acceleration due to gravity,
Cd = drag coefficient,
ρ = density of the fluid through which the...
Homework Statement
(a) Estimate the terminal speed of a wooden sphere (density 0.870 g/cm3) falling through air, if its radius is 8.00 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m3.)
(b) From what height would a freely falling object reach this speed in the absence...
Homework Statement
The terminal velocity of a mass m, moving at 'high speeds' through a fluid of density
ρ(kg m^-3), is given by v = sqrt(2mg/DρA) where A is the cross sectional area of the object (m^2) and D a dimensionless "drag coefficient".
i) Show that equation is dimensionally...
PLEASE HELP! in Deriving Terminal Velocity Equation :)
Homework Statement
The terminal velocity of a mass m, moving at 'high speeds' through a fluid of density
ρ(kg m^-3), is given by v = sqrt(2mg/DρA) where A is the cross sectional area of the object (m^2) and D a dimensionless "drag...
In our textbook, the equation for terminal velocity has been derived from Stokes' law and it comes down as follows,
vt = (mg)/6(pi)(eta)r
(r is the radius of the spherical body)
then, by putting the value of 'm' from m=(rho)V [where V = 4/3 * (pi)r3]
we get,
vt = 2(rho)gr2 / 9...
[PLAIN]http://img204.imageshack.us/img204/11/60272414.png
Hey guys, I'm stuck on this question, part b)
I figured out a) and v(t) for V(0) = 0 ends up being
mg - mge-kt/m
k
(Sorry, latex was being difficult)
But then when I try to figure out the limit as...
Homework Statement
It is a definition that the terminal velocity is the same as constant velocity where the net force is 0 and therefore the acceleration is also 0
Here is what I don't get, why must the terminal velocity must such that it is constant? I know that to be "terminal" it means...
I have a question regarding the terminal velocity of an object falling through a liquid. Now the speed will increase up to the terminal veloity in a given time. What I do not understand is in this calculation I'm performing (solving the equation of motion for the speed, when acceleration equals...
Homework Statement
The terminal speed of a freely falling ball in a medium is vt, free fall acceleration is g.
In a differrent setting, the same ball, in the same medium, in the same gravity field is supported
by a light elastic spring. In equilibrium, under the weight of the ball, the...
Homework Statement
The terminal velocity of a 2.8*10^{-5}kg raindrop is about 14 m/s.
Determine the time required for such a drop, starting from rest, to reach 63 percent of terminal velocity.Homework Equations
F_{g}-F_{D}=-bv
The Attempt at a Solution
F_{D}=1.96*10\exp{-5}
mg-b*(0.63V_{T}) =...
Homework Statement
A 9.00 kg object starting from rest falls through a viscous medium and experiences a resistive force R = -bv, where v is the velocity of the object. If the object reaches one-half its terminal speed in 5.93 s,
(a) determine the terminal speed.
Homework Equations...
Homework Statement
An object of weight W falls from rest subject to a frictional drag force bv^2. What maximum ("terminal") velocity will it approach if W = 4 N and b = 3 N∙ s2/m?
The Attempt at a Solution
I set W = Bv^2 and solved for v and got 1.15. I am not quite sure if...
Homework Statement
Integrate
v_{y} = v_{t} (1 - e^{-(\frac{k}{m})t}))
to get y as a function of time.
Homework Equations
y = v_{t}(t - \frac{m}{k} (1 - e^{-(\frac{k}{m})t}))) is the solution.
v_{t}=\frac{mg}{k}
The Attempt at a Solution
Well, when I integrate I get the following:
y =...
I m solving the problem in which the drop is falling from some height and its size is increasing with the rate dm/dt=kMv where v is the velocity of the drop at that instant , so we have to find the terminal velocity of the drop gained due to air drag,
The problem is that if the drop gains...
Hey guy,
Ive been recently investigating the phenomena of eddy currents, particularly that of a magnet falling down a copper tube.
To the people who haven't seen it before, basically the magnet reaches terminal velocity in the copper tube extremely quickly, and takes a long time to leave the...
Homework Statement
A bobsled has a frontal area of 0.86 m^2 and a coefficient of drag of 0.267. The air density is 1.043 kg/m^3. Total mass of the sled and the bobsled driver and pushers is 827 kg. Friction in the runners is negligible. The track slopes down at an angle of 0.078 radians. What...
Homework Statement
A parachutist whose mass is 100kg drops from rest to an altitude of 3000m and falls under of gravity. Assume that the force due to to air resistance is proportional to the velocity of the parachutist , with the proportionality constant k1 = 20kg/s when the chute is closed...
Air Bubbles and Terminal Velocity--> why is my answer wrong? (all work shown)
Homework Statement
Air bubbles of 1.0mm radius are rising from a scuba diver to the surface of the sea. Assume a
water temp of 20C.
a) If viscosity of water = 1.0 X 10-3 Pa.s, what is the terminal
velocity of...
Homework Statement
Droplets in a deodorant spray have mass of about (4x10^-12) kg and a radius of about 0.1mm. Estimate the terminal velocity of the droplets in Air of Viscosity (2x10^-5)Nsm^-2.
Homework Equations
Stoke's Law, F = 6pi rvu
where r = radius, v = velocity and u = viscosity...
Information:
"In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is θ = 31.5°, the snow is dry snow with a coefficient of kinetic friction μk = 0.0400, the mass of the skier and equipment is m...
We have the following formula for the velocity of an object moving in a fluid.
v = vt -vte-kt/m.
This formula shows that an object can never achieve terminal velocity but in the derivation of this formula given in "Fundamental of Physics" by H D Young and Freedman 10 edition we use the formula...
Homework Statement
A conducting ring with radius a and mass m is placed in a magnetic field at a height H above the origin of the reference frame. The plane of the ring is parallel to the ground, that is, the normal is directed along the z-axis. The electrical resistance per unit length of...
Homework Statement
A sky diver of mass 79.5 kg jumps from a slow-moving aircraft and reaches a terminal speed of 53.0 m/s.
(a) What is the acceleration of the sky diver when her speed is 30.0 m/s?
What is the drag force on the diver when her speed is the following?
(b) 53.0 m/s (answer in...
Homework Statement
A rock of mass 0.400 kg is released from the surface and sinks in the ocean. As the rock descends it is acted upon by three forces: gravity, buoyancy, and drag. The buoyancy is an upward force equal to half its weight. Drag from the water can be modeled by F = kv...
Homework Statement
Marks: 1 In a recent mystery, the hero saves himself by spreading out a windshield tarpaulin to reduce his terminal velocity. A skydiver of 75 kg mass has a terminal velocity of 60 m/s. If the hero has the same 75 kg mass, the same density as the sky diver, and a drag...
Homework Statement
Figure shows the motion of a rubber ball,of mass m,released (from rest),from the bottom of a pond.Explain the motion of the ball,with reference to its change in velocity and any other forces present,at points A,B,C,D and E
Also comment on the path and velocity of the ball...
Hello everyone,
I'm in great need of an expert answer and havn't been able to find much help at all, so I am hoping I have come to the best place.
I have two questions regarding forces acting apon passengers in an aircraft.
I would like to know how passengers would experience a zero...
good day all, out of sheer curiosity i tried to calculate what could be my terminal velocity in a skydive, since i will be diving in soon.
using the terminal velocity formula: Vt = sqrt[ (2mg) / (pACd)
where:
Vt = terminal velocity
m= mass
g = acceleration due to gravity
p = density of...
Hi there,
I've been looking over the internet for a while and I am looking to find the terminal velocity of a tennis ball from a reputable source. I am writing a paper for my college classical physics class. I found the terminal velocity for a tennis ball and it was about 9 m/s. I know this...
Hi, i just wondered if it is possible by calculation to determine how far in a viscous liquid it would take for an object (sphere, ball bearing) to reach terminal velocity. I have to design an experiment to investigate Stokes law. Could i use suvat equations as it is constant acceleration?
Thanks
Homework Statement
A conducting rectangular loop of Mass M and resistance R and length l and width w falls from rest into a magnetic field B as shown. During the time interval before the top edge of the loop reaches the field, the loop approaches the terminal speed v T .
Show that...