In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. It can be uniform, with constant angular rate of rotation and constant speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves circular motion of its parts. The equations of motion describe the movement of the center of mass of a body. In circular motion, the distance between the body and a fixed point on the surface remains the same.
Examples of circular motion include: an artificial satellite orbiting the Earth at a constant height, a ceiling fan's blades rotating around a hub, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field, and a gear turning inside a mechanism.
Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal force in the direction of the center of rotation. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion.
Sorry for having my first post be a question, I guess. I'm just confused as to how to do this since I've never really been one for word problems. I can't really type in... tex(?) either. Oh well, here we go:
Homework Statement
In an old-fashioned amusement park ride, passengers stand inside...
Homework Statement
Imagine that NASA plans to builds a large donut-shaped space station. The station will rotate in outer space in order to simulate gravity. If the station has a radius of 200m, what must be its rotation speed in revolutions per minute, to produce an artificial gravity of 0.8...
Homework Statement
A 1.01 kg mass is attached to a spring of force constant 9.5 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.485 m at a rate of 2.14 revolutions per second?
What i was thinking was using the...
A particle of mass 0.014 kg is traveling on a radius 0.9m at a rotational velocity of 36+5*t rad.s-1.
How many revolutions does the particle go thorugh in 4.8 seconds? [revs]
What is the radial force on the particle at 4.8 seconds? [N] (Hint: consider directions)
(question I'm stuck...
Homework Statement
Let a body with a mass m move along a circle of radius R. The absolute value (magnitude) of its velocity changes linearly in time from v to 2v during one complete rotation. Find the absolute value of the force that act on this body as a function of time.
The Attempt at a...
Homework Statement
Scientists want to place a 4400.0 kg satellite in orbit around Mars. They plan to have the satellite orbit at a speed of 2645.0 m/s in a perfectly circular orbit. Here is some information that may help solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m...
While a person is walking, his arms (with typical lengths 70 cm measured from the shoulder joint) swing through approximately a 45 degree angle in 0.5 s. As a reasonable approximation, we can assume that the arm moves with constant speed during each swing.
Find the magnitude of the force that...
I am very confused with a particular aspect of part of my physics curriculum.
Let's say there is an object swinging on a rope swinging in a circular motion. The mass of the object, length of rope, and angle of rope relative to y-axis are known.
How does one derive the tension of the rope...
I have attempted each problem, but am getting lost on just what to do to solve. If i could be pointed in the right direction on how i should go about each problem that would be nice. Attached are my attempts at problems 1-3.
Homework Statement
SEE ATTACHMENT
The Attempt at a Solution
See...
Homework Statement
A car moves along a straight, but hilly road, at a constant speed. There is a crest and dip in this road, both with a radius of 250m.
a) As the car passes over the peak of the crest, the normal force is half the 16kN weight of the car. What is the normal force at the bottom...
Homework Statement
A car is moving at a speed of 20 m/s in 4 seconds and the car's tire is 38cm which is its diameter. How many revolutions did your tires make?
Homework Equations
Relevant Equations, T=2∏r / v
The Attempt at a Solution
My attempt at a solution:
To get...
A car is moving at a speed of 20 m/s in 4 seconds and the car's tire is 38cm around which is its diameter. How many revolutions did your tires make?
Relevant Equations, T=2∏r / v
My attempt at a solution:
To get the distance travelled=20 m/s (4 sec.) = 80 m
2∏(0.19m)= 1.19 m
80m /...
Homework Statement
A roadway is designed for traffic moving at a speed of 28 m s . A curved section of the
roadway is a circular arc of 190 m radius. The roadway is banked so that a vehicle can go
around the curve with the lateral friction forces equal to zero
Homework Equations
F_C =...
Homework Statement
I do not know if this is the correct forum to post this in but here goes. I got all of the answers correct, but I just have a question on part F.
1.) The figure shows a motion diagram
of a particle in circular motion at a
constant speed. The axes have units
of...
1. ______ stands on the Earth's equator. Calculate his tangential speed. The Earth has a radius of 6.38 x 10^6 m. What is ______ centripetal acceleration?
2. 2∏r/T (Circumference/Time) and V2(squared)/r. (Velocity Squared/Radius)
I don't even know how to start this problem.
Homework Statement
What is the period of Earth's (nearly) circular motion around the Sun?
(2*pi*r)/T
1 year
(1 year)/(2*pi)
(2*pi)/(1 year)
2*pi*(1 year)
Homework Equations
There is only one speed that a satellite can have if the satellite is to remain in...
Homework Statement
An Ferris Wheel has a radius of 16m and rotates once every 20 seconds.
a) Find Centripedal acceleration.
b) Whats the effektive wheight of a 45 kg person at highest point?
c) Lowest point?
Homework Equations
a) I tried using the a=ω2*r in a) but not sure if its right
b)...
Homework Statement
A block of mass 1 Kg initially at rest at point B is being pulled by a constant force F= 100N along a smooth circular track of radius 10 m . Find the velocity of the block when it reaches point P making an angle 60 with the vertical.
Homework Equations
The Attempt at a...
Dear forums
Hello. I teach physics, and whilst I think that my knowledge is fairly sound, once every now and I then I encounter something which baffles me like so...
In a simple demo of circular motion, a rubber bung is whirled around the head in a horizontal plane. If the bung is...
A flatbed lorry travels at 100km/hr around a corner of radius 300m. inwardly banked at 10°
On the back of the lorry is a crate whose mass is 200kg. The cofficient of static fricition between the crate and the lorry being 0.7.
A) State the magnitude and direction (up or down the bed) of the...
Hello,
I am now studying centripetal force.
and the problem is that centripetal force in gravitational field.
Let's talk about Ferris-wheel ride, this ride has some rooms to carry people and fixed to the
edge of the wheel. Since it is rotating periodically, its magnitude of net force...
Circular Motion and Friction??
A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates an unbanked curve in the road. The curve may be regarded as an arc of a circle of radius 33.5 m. If the coefficient of static friction between crate and truck is...
3 masses 120 degrees away from each other each one of 46g is spinning at 600RPM 58mm away from the center and are fixed to a guide pole. The masses are transmitting torque on a surface and the friction between the surfaces is 0.62 The area of contact is 192mm^2. How much torque is transmitted...
Homework Statement
By resolving forces horizontally and vertically and using Newton's second Law, find an expression for the angle swung out of a Chair-o-plane ride.
Im just not really sure how to resolve the forces vertically and horizontally.
Homework Equations
So far I know that...
A small body $A$ starts sliding from the height $h$ down an inclined groove passing through into a half circle of radius $h/2$. Assuming friction to be negligiable, find the velocity of the body at the highest point of its trajectory(after breaking off the groove).
Homework Statement A 0.160 kg ball attached to a light cord is swung in a vertical circle of radius 70.0 cm. At the top of the swing, the speed of the ball is 3.26 m/s. The centre of the circle is 1.50 m above the floor. What is the velocity if the ball is 30 degrees below the horizontal...
Homework Statement
A clock is showing 3.30. Calculate the angular displacement in degrees from the 12.00 position of the clock to:
i the minute hand
ii the hour hand
I got my minute answer as 180 degree, which is right. But my second answer was 90 degrees, which apparently is wrong! the...
This topic is to do with circular motion..angular velocity. I have just begun this chapter in my a2 physics, and I don't really understand why the tip moves faster than the one near the centre. I understand it through calculations(using the different length of radius and then ω/angular...
Hi!
I’ve recently done an experiment that I didn’t completely understand and now it seems I’ve lost all my notes as well (the notes written down from the teacher’s board, with a formula I really need, but didn’t understand). This work is supposed to be completed during the summer holiday, so I...
Just preparing for a physics prelim and working through previous exam questions.
Homework Statement
A mass m moving in a circular orbit about the origin is attracted by a three dimensional harmonic potential,
U(r)=\frac{1}{2}kr^{2}
What is the frequency of the orbit? If a small kick...
1. Homework Statement [/b]
A particle of mass m is moving in a circular path of constant radius r such
that its centripetal acceleration a varies with time t as a = k^2rt^2, where k is a
constant. Show that the power delivered to the particle by the forces acting on
it is mk^4r^2t^5/3
Homework...
Homework Statement
A small bob is suspended from a fixed point by a string 0.50m long. It is made to rotate in a horizontal circle of radius 0.40m, the center of this circle being vertically below the point of support. Find the angle of inclination of the string, with respect to the vertical...
A turntable is rotating at a constant angular velocity of ω = 4.0 rad/s in the direction of a clockwise fashion. There is a ten-cent coin on the turntable, at a distance of 5 cm from the axis of rotation.
(a) Which one of the following options below correctly identifies the direction in which...
Homework Statement
Hi Can anyone help with this question? It will be highly appreciated. An object of mass 6kg is whirled round in a vertical circle of radius 2m with the speed of 8m/s. If the string breaks when the tension in it exceeds 360N, calculate the maximum speed of rotation and...
Homework Statement
As shown in attached figure, a small object is in uniform circular motion in a horizontal plane, on the smooth of a hemisphere (radius:r). The distance between the object's plane of motion and the hemisphere's lowest point is \frac{r}{5}
What is the speed of the object...
I was reading that the friction force involved in circular motion was in the same direction as the centripetal force; but I thought that the frictional was suppose to act in the opposite direction of the intended motion, is this not true? Also, I am having a hard time figuring out how a car...
Homework Statement
A 1200 kg car rounds a banked curve of radius 70 m. If the banked angle is 12° and the car is traveling at 90 km/h, show that friction is necessary in order for the car to safely make the turn.
Homework Equations
Force of gravity: Fg=m*g
to calculate the normal...
Hi all,
Currently, I'm doing an experiment to estimate length of a rigid body.
The approach is based on information from accelerometer and gyroscope while the rigid body is moved in circular way.
The relationship is: v = ω x R (all are vectors, and 'x' means cross products)
v =...
I am reading about uniform circular motion currently, but I am sort of confused by this paragraph:
"We next determine the magnitude of the centripetal centripetal (radial) acceleration, ar. Because CA in fig. 5-2a is perpendicular to V1, and CB is perpendicular to V2, it follows that the...
Imagine a body moving to the right with velocity v, I then apply a force that accelerates the body leftwards by v and downwards by v.
After one second, the body has stopped moving to the right and is only moving downwards with velocity v.
Then, while I keep accelerating the body to the left...
Homework Statement
Curved portions of highways are always banked (tilted) to prevent cars from sliding off the highway. When a highway is dry, the frictional force between the tires and the road surface may be enough to prevent sliding. When the highway is wet, however, the frictional force...
I'm trying to figure out the distance traveled in a circular motion. This is for a traffic court case, I need to figure out how far my car traveled in an intersection.
So far, I've only been able to find equations for determining speed. I have speed. I have time. I also have the radius of the...
Homework Statement
A1. An object undergoing circular motion is pictured below at time t = 0 s.
(a) What is the angular frequency of the object?
(b) What is the equation of the displacement of the object in the x-direction?
(c) What is the equation of the displacement of the object in the...
Homework Statement
Three masses are connected by strings and swung in a verticle circle. You are holding string 1 which is attached to a mass attached to string 2 likewise attached to another mass string 3. Which string has the greatest tension? Which string has the smallest tension?Homework...
Homework Statement
If you twirl a ball attached to a cord in a vertical circle, there would be a critical speed at the top for which the tension in the cord is zero. This is because the force of gravity supplies all the centripetal force necessary to complete the circle. How slowly would you...
Homework Statement
A 65-kg speed skater with a velocity of 15.0m/s comes into a turn on the track of radius 25.0m.
a) How much friction must be exerted between the skates and the ice to negotiate the turn?
b) Determine the coefficient of friction between the skates and the surface of...
Homework Statement
An 80-kg pilot flies a plane in a vertical loop. At the top of the loop, where the plane is completely upside-down for an instant, the pilot hangs freely in the seat and does not push against the seat belt. The airspeed indicator reads the 110 m/s. What is the radius of...
Homework Statement
One of the most popular rides at carnivals is the one that resembles a large circular drum that rotates on its axis. Once the ride is spinning fast enough, the floor drops down and the riders are left pinned to the inside wall of the drum (I believe they are describing a...
In a circular motion without any banking of road frictional force is the only force causing centripetal force right? But why does it act centrally? Without friction the vehicle will go straight as no centripetal force is present. But frictional always acts opposite to the direction of motion. So...