Angular Velocity Question?
In March 2004, a British company successfully tested a power system to tap the energy of ocean tides. The energy will be stored in an underwater turbine consisting of two metal blades, each 15.0 m long. The movement of the water due to the tides will give kinetic...
Homework Statement
Jim rides his skateboard down a ramp that is in the shape of a quarter circle with a radius of 6.50 m. At the bottom of the ramp, Jim is moving at 2.82 m/s. Jim and his skateboard have a mass of 67.0 kg. How much work is done by friction as the skateboard goes down the...
Hi there,
It is common that
angular velocity = radius * rate of change of degree over time,
But I read this somewhere,
it reads
angular vel = normal vector * rate of change of normal vector over time,
Can anyone please explain the correlation?
Thank you.
Help me...PLEASEE..
I would like to know about:
1)Background/History:Kinematics of a rigid bodies - linear and angular velocity
2)Application Kinematics of a rigid bodies - linear and angular velocity in dynamics
Please reply me A.S.A.P =(
Homework Statement
A ball with mass m and velocity v goes on a path tangent to a disk with radius R and a mass of M. There is a completely inelastic collision at the outer rim of the disk, and the entire system begins to spin around the axis. What was the final angular speed of the system...
Two problems involving angular velocity:
Edit: Problem one solved! Hooray!
2.The Milky Way galaxy rotates about its center with a period of about 192 million years. The Sun is 2x10^20 m from the center of the galaxy. How fast is the Sun moving with respect to the center of the galaxy...
man i don't understand this stuff i have a test on thursday and i found some practice problems can anyone help me solve these( please show work) i need to learn how to do them i have the formulas i think but idont know when and which to use please help soon
1. In 1993, Bill tossed a ball...
[b]1. [b]1. The rear wheels of a tractor are 4 ft in diameter and turn at 20 rpm.
a. How fast is the tractor going (ft. per sec.)?
b. The front wheels have a diameter of only 1.8 ft. What is the linear velocity of a point on their tire treads?
c. What is the angular velocity of the front...
Hi :). I'll just start describing the problem...
An ant with mass m is moving anti-clockwise on a Disk with a perpendicular rotation axis (with no friction). The disk's radius is R and it's moment of inertia - I.
The velocity of the ant *in relation to the Earth* is V while the disk is...
Homework Statement
a gear of radius 0.4m and a gear of radius 1.2m are connected by a belt. if the smaller gear is rotating with an angular velocity of 10 rad/s,
find the angular velocity of the larger gear.
here is the formula: v = rw
a. what can be said about the linear velocity of a...
Homework Statement
A person is riding a bicycle, and its wheels have an angular velocity of +19.5 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is +11.5 revolutions.
(a) How much time does it take for...
Homework Statement
A coin is placed on a record turntable at a distance of 10cm from the turntable axis. The coefficient of static friction between the coin and the turntable is 0.21. If the turntable starts from rest with a constant angular acceleration of 1.2 rad/s2, how much time passes...
Homework Statement
Suppose we have a horizental massless tube.
One end of the tube is welded to seomthing that rotates on an angular velocity of w1=(0, 1, 0), on the other end of the tube there is a disk, which rotates with an angular velocity of w2=(0, 0, 2)
The system's angular velocity is...
Homework Statement
Description of a rigid body having an angular velocity
w(t) = (cos(t), sin(t), sqrt(3))
How does a movement of a rigid body having this angular velocity looks like?
For instance, what would be the course of a point p=(0, 0, 1) on this body?
Homework Equations
r the...
Unfortunately I was absent when a similar example was done in class...
Homework Statement
A 10 g bullet traveling at 400 m/s strikes a 10 kg, 1.0-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open.
What is the angular velocity of...
Cylinder about side, finding angular velocity...
Homework Statement
A 5.0 kg, 60-cm-diameter disk rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released...
Homework Statement
Find the angular velocity and period of oscillation of a solid disc of mass m and radius R about a point on it’s surface.
Homework Equations
?
The Attempt at a Solution
This is really giving me trouble because it seems like a SHO problem mixed with a rotational motion...
i think i have part a right (but who knows). i don't know about part b. any help is appreciated!
Homework Statement
1) a car is traveling at 80km/h, and is towing a trailer. the wheels of the trailer are 40cm in diameter.
a) determine the angular velocity in rad/s and degrees/s
radius...
Homework Statement
A flywheel has shape as a homogeneous cylinder with mass m = 40,0 kg and radius r = 0,50 meters. The cylinder is rotating round the axis of symmetry, and is runned by a motor with constant angular velocity (w0). When the motor is switched off, the cylinder is affected by a...
Homework Statement
A ride in an amusement park consists of a cylindrical chamber that rotates around a vertical axis as shown in the diagram below. When the angular velocity is sufficiently high, a person leaning against the wall can take his or her feet off the floor and remain "stuck" to the...
1. a solid sphere (I=0.4mr^2) of mass 1.5 kg and radius 15 cm moves down a 35 degrees incline 7m long. Assuming it started from rest, what is its angular velocity in rad/s at the bottom of the incline? a)71.27 b)32.25 c)49.98 d)61.69
3.i tried by plugging in the values and trying to...
An object whose moment of inertia is 4.10 kg/m^2 experiences the torque shown in the graph attached.
What is the object's angular velocity at 2.70 s? Assume it starts from rest.
My main problem i think is how to read the graph. How should i interpret the graph?
What i would do first is...
Angular Velocity?
A thin uniform rod is rotating at an angular velocity of 9.37 rad/s about an axis that is perpendicular to the rod at its center. As the figure indicates, the rod is hinged at two places, one-quarter of the length from each end. Without the aid of external torques, the rod...
1. Homework Statement
theta(t) = 2t^3 + 5t^2 - 2t + 1
Find the angular velocity in rpm's at t = 2s if the radius of the circular path is 30 cm
Basically I want to kno if i did this part of the problem right b/c my professor didn't give us a key for the practice exam
2. Homework...
AP Free - Response Question HELP! iNCLUDES angular velocity and acceleration
http://www.fayar.net/east/Teacher.web/Math/young/APPC/APPC%201999/physics_c_m_99.pdf
Mechanics 3 is the problem I really need help on.
I tried to find the tension of the string by setting it equal to mg + Iwr, but...
Homework Statement
The coefficient of static friction between the person and the wall is .61. The radius of the cylinder is 6.56 m. An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the...
This is my first contact and please excuse my limited knowledge of physics.
see attached sketch.
If the steel plate is moved along the steel table in direction A at a given velocity, what is the formula for the angle to achieve maximum velocity of the wood block in direction B.
Homework Statement
"Many rivers, like hte Mississippi River, flow from north to south toward the equator. These rivers often carry a large amount of sediment that they deposit when entering the ocean. What effect does this redistribution of material have on the angular velocity of the earth...
A 73.9 kg shaft with a radius of 8.9 cm is spinning at a rate of 364.5 rpm. If a board leans against the outside providing a frictional force of 59.92 N, how long will it take for the shaft to stop rotating?
Answer says 2.094 s.
Problem I have is that my Inertia table doesn't list shaft...
Homework Statement
A uniform solid sphere of radius r is placed on the inside surface of a hemispherical bowl with much larger radius R. The sphere is released from rest at an angle theta to the vertical and roles without slipping. Determine the angular speed of the sphere when it reaches the...
Homework Statement
A device consisting of four heavy balls connected by low-mass rods is free to rotate about an axle. It is initially not spinning. A small bullet traveling very fast buries itself in one of the balls. In the diagram, m = 0.004 kg, v = 450 m/s, M1 = 1.4 kg, M2 = 0.3 kg, R1 =...
Homework Statement
A 200g, 40-cm-diameter turntable rotates on frictionless bearings at 60 rpm. A 20g block sits at the center of the turntable. A compressed spring shoots the block radially outward along a frictionless groove in the surface of the turntable. What is the turntable's rotation...
Homework Statement
consider a point on a bicycle wheel as the wheel turns about a fixed axis, neither speeding up nor slowing down. Compare the linear and angular velocities of the point. [The subsequent question asks about the linear and angular accelerations
a. both are constant
b. only...
Homework Statement
A merry-go-round is a common piece of playground equipment. A 4 m diameter merry-go-round with a mass of 220 kg is spinning at 16 rpm. John runs tangent to the merry-go-round at 5.0 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is...
Homework Statement
Gears A and B are connected by arm AB. The angular velocity at A is 60 rev. per minuter (clockwise), find the angular velocity at B if
a) wAB = 40 rpm (counterclockwise)
b) wAB = 40 rpm (clockwise)
Homework Equations
w=dTheta / dt
w = v/r
The Attempt at a...
Hello:
I seem to be stuck on this one problem: "A meter stick is suspended vertically at a pivot point 0.26 meters from the top end. It is rotated on the pivot until it is horizontal and then released from rest. What will be its maximum angular velocity (in radians per second)?"
So I...
A heavy uniform hoop of mass M and radius R rolls in a straight line on level ground without slipping. It encounters a step of height h, where h<R perpendicular to its path. On striking the corner of the step, the hoop does not rebound and has sufficient energy to just surmount it. If the...
I feel really dumb asking this... it seems like a really basic problem, but it's due tomorrow, I've got heaps of other stuff to do and I'm not getting anywhere with it.
Here is the problem:
"A uniform rod of length l is freely pivoted at one end. It's initially held horizontal, then...
A new topic for me, angular velocity. I haven't been able to solve this problem. Perhaps someone can help:
A dog is running around a stationary turntable, with angular velocity w = 0.750 rad/s. The dog sees a bone 1/3 rev away. At that instant, the turntable begins to turn with angular...
The problem is problem 6 at
http://viewmorepics.myspace.com/index.cfm?fuseaction=viewImage&friendID=128765607&imageID=1460003525
A long thin rod of mass M and length L with two balls of mass M1 (same mass for both) attached is allowed to rotate about the horizontal axis shown. The bar is...
A 20kg girl stands on a large turntable 4m from its center. The turntable has a moment of inertia (about its roation axis) of 200kgm^2. Assume that the girl is a point mass.
a) Assume that the girl and turntable are rotating at 1 rad/s. If the girl walks inwards to a radius of 3m and...
A cockroach of mass m lies on the rim of a uniform disk of mass 4.29m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.271 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then...
The problem has a picture of a rod on a 3 dimensional coordinate system and gives the measurements.
The rod rotates around the line joining each of the two endpoints with a constant angular velocity of 12 rad/s.
The problem has you do things in steps, first finding the components in x, y...
I have a question from an old exam, asking for the torque required to rotate a triangular shape about one of its sides. Please find the question attached, and any help is greatly appreciated.
Until the picture gets approved:
Find the torque needed to rotate a traingular plate of sides a, b...
A skater is initially spinning at a rate of 15 rad/s with a rotational inertia of 2.78 kg·m2 when her arms are extended. What is her angular velocity after she pulls her arms in and reduces her rotational inertia to 1.65 kg·m2?
I have so much trouble with these problems because I haven't a...
just hoping to get this double checked:
10. A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?
a. 3.2 rad/s
b. 26 rad/s
c. 52 rad/s
d. 81 rad/s
answer: C, I simply did ; 2*π*8.3 rad/s = 52.1 rad/s. is this correct?
A solid uniform disk of mass m and radius R is pivoted about a horizontal axis through its center, and a small body of mass m is attached to the rim of the disk. If the disk is released from rest with the small body at the end of a horizontal radius, find the angular velocity when the body is at...
A particle in UCM goes from a point A to B. The change in it's momentum is 2j and change in the centripetal force is 8i .Where i and j are unit vectors along X and Y axis. What is the angular velocity of the particle ?