In a few chemistry books/resources I've seen the Bohr model of the atom is developed equating the electrostatic force to a centripetal force. Yet these sources also depict the centripetal force as being directed outward, away from the nucleus. (a single proton for the H atom) One even called it...
1. What is the maximum speed with which a bike can move at a curve, and on which angle from the vertical should he turn, so that he doesn't fall off the road, if the coefficient of friction is 0,4 and the radius of the curve is 100m?
Now, I easily calculated the maximum speed by equating the...
1.Speedboat
A speedboat with a length of 10.2m and a mass of 247 kg is negotiaging a circular turn (radius = 33 m) around a buoy. During the turn, the engine causes a net tangential force of magnitude 521 N to be applied to the boat. The intial speed of the boat going into the turn is 4 m/sec...
[SOLVED] Pendulum and Centripetal Motion Question
Picture and FBD
The Problem/Question
Calculate the speed of a 2.0m length pendulum at the very bottom of the swing if you raise it a vertical height of 0.12m
Relevant equations
F_net = F_T + F_G = F_C = m(\frac{V^2}{r})
The...
Homework Statement
A minibus of mass 1.6 tonnes is rounding a flat bend of constant radius 25m at a steady speed of 72km/h. Find the centripetal force acting on the vehicle. What is the minimum co-efficient of sideways friction between the tyres and the road for this motion to take place...
Again, I was having trouble with something that I think I resolved, but I still lack the confidence in these problems, so I am asking people to check my solution.
Homework Statement
A pendulum of mass M with a massless string length L is released from the horizontal. Theta initial is 90...
I have a helicopter flying, but it is at rest in relation to the Earth, i.e., it's just hovering. That means the aerodynamical force equals minus the weight, so the forces cancel out, and the helicopter doesn't fall. But now, since the weight was cancelled, I can't say there's a centripetal...
On a couple of occasions I've seen it stated that centripetal forces cancel out gravity where centripetal force is v^2/r (expressed in m/s^2 as with gravity). Based on this, if the angular velocity of frame-dragging near a 3 sol BH (spin parameter a = 0.95) was 54,226,630 m/s (0.181c) at the...
Centripetal or CoEf ?
Homework Statement
If the Coefficient of friction between the gym floor and your running shoes is 0.80, how fast could you run around a circle of radius 2.0m?
I don't know even where to start...
Homework Equations
The Attempt at a Solution
Homework Statement
Calculate the magnitude of the centripetal acceleration at 8.4 cm from the centre of the centrifuge when it is spinning at 6.0x10^4 rpm. Express your answer in terms of g (acceleration due to Earth's gravity.)
Homework Equations
Ac = v^2 /
r
The Attempt at a...
Homework Statement
Calculate the magnitude of the centripetal acceleration at 8.4 cm from the centre of the centrifuge when it is spinning at 6.0x10^4 rpm. Express your answer in terms of g (acceleration due to Earth's gravity.)
Homework Equations
Ac = v^2 /
r
The Attempt at a...
Homework Statement
A skier starts at rest on the top of Mt Circular, a strange, smooth, icy hill shaped like a hemisphere. The hill has a constant radius of R. Neglecting friction (it is icy!), show that the skier will leave the surface of the hill and become air-borne at a vertical distance...
[SOLVED] Centripetal Force and G Forces while traveling over a hill
Homework Statement
Hi everyone - I've had some problems wrapping my head around the ideas behind centripetal force while traveling over a hill, and, at wits end after journeying for hours through sites which are either...
Homework Statement
A 2000 kg plane does a vertical loop with radius 600 m at a velocity of 120 m/s. At the very top of the loop, what is the force from the air required?
Plane's mass = 2000 kg
Radius = 600 m
Velocity = 120 m/s
Homework Equations
F = (mv^2)/R
Wt = mg
Net F-sub y...
A driver leaves a cake on top of his car and enters a rotary with a speed of 10 m/s. The rotary has a radius of 15 m and the coefficient of friction between the cake and the top of the car is 0.600u. Will the cake stay on top?
Can someone show both ways of doing this problem?
A 9.5 kg monkey is hanging by one arm from a branch and is swinging on a vertical circle. As an approximation, assume a radial distance of 85 cm between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 2.6...
Homework Statement
a 20 kg ball attached to a string is moving in constant circular motion. if theta= 10 degrees and the radius of its circular path is 0.5 m, what is the ball's velocity?
Homework Equations
a(centripetal)=V^2/r
The Attempt at a Solution
As far as I got was...
the cars on a theme park ride each have a mass of 500Kg and travel round a verticle loop of diameter 20m
i need to know the minimum speed at which the carts are traveling in order to remain in contact with the loop as they go round.
and the maximum reaction of the track
I am writing an essay in which I try to describe Centripetal Force to a layperson. Since I am a layperson myself, I wanted to make sure that there were no glaring errors before I submitted it. If someone could review this, and let me know if it passes scientific muster, I would appreciate it...
I got all the other centripetal force questions but this one has me stumped...
As a roller coaster car crosses the top of a 30m-diameter loop-the-loop, its apparent weight is the same as its true weight. What is the car's speed at the top?
The formula I used for all of the other questions...
The cars on a theme park ride each have a mass of 500 kg and travel around a vertical loop of diameter 20m.
What is the minimum speed at which the cars must enter the loop in order to remain in contact with the track and What will then be the maximum reaction of the track?
M=mass
g=gravity...
[SOLVED] Centripetal Acceleration Part II
Homework Statement
(From previous question) In order for a satellite to move in a stable circular orbit of radius 6689 km at a constant speed, its centripetal acceleration must be inversely proportional to the square of the radius of the orbit...
[SOLVED] Centripetal Acceleration
Homework Statement
In order for a satellite to move in a stable circular orbit of radius 6689 km at a constant speed, its centripetal acceleration must be inversely proportional to the square of the radius of the orbit.
What is the speed of the...
Question 1:
In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an angular speed of 7.00 rad/s, as in the figure displayed below. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of...
Homework Statement
A carnival merry-go-round rotates about a vertical axis at a constant rate. A man standing on the edge has a constant speed of 3.43 m/s and a centripetal acceleration of magnitude 1.87 m/s2. How far is the man from the center of the merry-go-round?
Homework Equations...
Homework Statement
A coin is placed on a record that is rotating at 33.3 rpm. If the coefficient of static friction between the coin and the record is 0.3, how far from the center of the record can the coin be placed without having it slip off?
Homework Equations
a=v^2/r
The Attempt...
This is regarding a particle traveling in a uniform circular motion around a "loop."
I understand that at the very top of the loop, the particle experiences Fg (Force of Gravity) and also Fn (Normal Force) due to contact with the surface, but also experiences acceleration in the "-y"...
Homework Statement
1.
An air puck of mass .25 kg is tied to a string and allowed to revolve in a circle of radius 1.0 m on a frictionless horizontal table. The other end of
2.
the string passes through a hole in the center of the table, and a mass of 1.0 kg is tied to it...
[SOLVED] Centripetal Force at an Angle
Homework Statement
The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 22 degrees. The transition should be rounded with what minimum radius so that cars traveling 90 km/h will...
Homework Statement
A 35kg boy is swinging on a rope 7 m long. He passes through the lowest position with a speed of 3 m/sec. What is the tension in the rope at that moment?
Homework Equations
F=ma
F=(m*v^2)/R
v=(2pi*r)/T
The Attempt at a Solution
F=(35*3^2)/7=45N
The...
[SOLVED] centripetal acceleration problem
Homework Statement
Find the centripetal acceleration at the top of a test tube in a centrifuge, given that the top is 5.0 cm from the axis of rotation and that its linear speed is 76 m/s.Homework Equations
Ac = v^2/r
The Attempt at a Solution
So...
Homework Statement
When solving problems involving centripetal motion, say rotating a string/spring with an object attached to it, without taking into account of the mass of the string/spring. What effect would it have if we DID take it into account?
Homework Equations
The Attempt...
entripetal forces on a moving axis of rotation
OK Guys, we need some help to finish a debate over on our Hanggliding forum.
A question was raised, is there anyway of telling wind direction with NO visual reference (cant see the ground etc)...
[SOLVED] Vertical Circular Motion & Centripetal Acceleration
Homework Statement
1) A car travels at a constant speed around a circular track whose radius is 2.1 km. The car goes once around the track in 410 s. What is the magnitude of the centripetal acceleration of the car?
Homework...
Homework Statement
I am having difficulty with a problem: A race care goes around a level, circular track with a diameter of 1.00 km at a constant speed of 90.0 km/h. Wha tis the car<s centripetal acceleration in m/s^2?
Homework Equations
Ac=v^2/r
The Attempt at a Solution
I'm...
Problem:
The Earth's orbit (assumed circular) around the sun is 1.5e11 m in radius, and it makes this orbit once a year. What is the centripetal acceleration of the earth?
Equations:
a = (v^2) / r
T = (2*pi*r) / v
My work:
T = (2*pi*r) / v;
1 year = (365 days / 1 year)*(24 hours /...
Homework Statement
Sasha's favorite ride at the fair is the Ferris wheel that has a radius of 7.0m.
1. If the ride takes 20.0s to make one full revolution, what is the linear speed of the wheel?
2. What centripetal force will the ride exert on Sasha's 50.0kg body?
3. In order for...
The answer is as follow:
-force is needed toward the centre or there is acceleration toward the centre
-movement to the left/toward A/away from the centre
-right hand spring (attached to B) has to stretch to provide force
I understand that centripetal force acts towards the...
[SOLVED] Centripetal Acceleration, etc.
Homework Statement
A space station is being built for astronauts to begin training for colonizing other planets. The rate of rotation is chosen so that the outer ring (r=2150m) simulates the acceleration of gravity on the surface of Venus (8.62m/s^2)...
we did a lab in physics recently in which we whirled a rubber stopper at a given radius (1 meter) for 30 rev and timed it. below, are the values we got. i' not sure if i am converting the linear peed to radians/sec correctly. any input?
Centripetal Force Period for 30 revolutions Period=T...
PROBLEM
A biophysicist wants to separate sub-cellular particles with an analytic ultracentrifuge. The biophysicist must determine the magnitude of the centripetal acceleration provided by the centrifuge at various speeds and radii.
Calculate the magnitude of the centripetal acceleration at...
Homework Statement
The pendulum is swinging at an angle of 25.5 degrees (with respect to the vertical)
The mass of the object is 14.6 kg
Length of String is .5 m
Find the velocity (v = ?)
Homework Equations
Centripetal Acceleration (ac) = v^2/r
Centripetal Force (Fc) = m*ac
The...
The radius of curvature of a loop-to-loop roller coaster is 12 m. At the top of the loop, the force that the seat exerts on a passenger of mass m is 0.4mg. Find the speed of the roller coaster at the top of the loop. Answer: v = 12.83 m/s.
I assume .4 mg is the torque, right? I have no clue...
[SOLVED] Find Tension for Centripetal Motion
George of the Jungle swings on a vine 6.5 meters long. What is the tension in the vine if George, whose mass is 75 kg, is moving at 2.4 m/s when the the vine is vertical?
I tried using the equation F = ma and a = v^2/r. I plugged the 2nd one into...
What is the centripetal acceleration of a point on the perimeter of a bicycle wheel of diameter 70 cm when the bike is moving 7.0m/s?
I thought the formula was v^2/r =ac
But when I do that i get 1.4m/s^2 and it is not the right answer. Can someone tell me what I'm doing wrong, or if I've...
Homework Statement
What provides the force that causes the centripetal acceleration of a satellite in orbit?
2. The attempt at a solution
I'm really confused about the answer to this question because in class my teacher only taught us how to solve satellite problems if we are given...
I don't know what I'm doing wrong on this one...
What is the centripetal acceleration of a point on the perimeter of a bicycle wheel of diameter 70cm when the bike is moving 7.0m/s.
isn't centripetal acceleration just v^2 / r?
I get 140m/s^2, but the answer is 180m/s^2