What is Angular displacement: Definition and 68 Discussions
Angular displacement of a body is the angle in radians (degrees, revolutions) through which a point revolves around a centre or line has been rotated in a specified sense about a specified axis. When a body rotates about its axis, the motion cannot simply be analyzed as a particle, as in circular motion it undergoes a changing velocity and acceleration at any time (t). When dealing with the rotation of a body, it becomes simpler to consider the body itself rigid. A body is generally considered rigid when the separations between all the particles remains constant throughout the body's motion, so for example parts of its mass are not flying off. In a realistic sense, all things can be deformable, however this impact is minimal and negligible. Thus the rotation of a rigid body over a fixed axis is referred to as rotational motion.
Homework Statement
The pinion gear A has a constant angular acceleration of 3 rad/s^2. Determine the angular velocity and angular displacement of the output shaft C @ t=2s starting from rest. The shaft is fixed to B and turns w/ it.
A has a radius of 35mm, B has a radius of 125mm, C...
Homework Statement
A baton twirler throws a spinning baton directly upward. As it goes up and returns to the twirlers hands, the baton turns through four revolutions. Ignoring air resistance and assuming that the average angular speed is 1.80 rev/s, determine the height to which the center...
Homework Statement
A person is riding a bicycle, and its wheels have an angular velocity of +22.0 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 +11.0 revolutions.
(a) How much time does it take for the...
Homework Statement
what is the angular displacement after 45 second if a wheel spins at 46.07669 radians/s
Homework Equations
The Attempt at a Solution
i got 2073.45105 and i don't know why that is not right
Homework Statement
A body with moment of inertia 20kgm^2 is rotating about a fixed axis with an angular velocity of w(t)= 3t^2-4
a. Through what angular displacement will the body move in the first 3 seconds
b. What is the new torque exerted on the object at t=2
Homework Equations...
This my first post on this very helpful forum.
So are angular displacement, velocity, and acceleration actually vectors? My Physics book does not really give me a straight answer. Plus, if they are, why do they not have the classic vector notation of the arrow above \theta, \omega, and...
Assume that the Titanic is drifting in Southampton harbor before its fateful journey and the captain wishes to stop the drift by dropping an anchor. The iron anchor has a mass 1000 kg. It is attached to a massless rope. The rope is wrapped around a reel in the form of a solid disk of radius...
[SOLVED] Simple Pendulum
Homework Statement
A simple pendulum with a length of 1.23 m and a mass of 6.64 kg is given an initial speed of 1.96 m/s at its equilibrium position.
(a) Assuming it undergoes simple harmonic motion, determine its period.
(b) Determine its total energy.
(c)...
Hello. The question reads, "...This is the world's heaviest hinged door. The door has a mass of 44,000kg, a rotational inertia about an axis through its hinges of 8.7X10^4 kg*m^2, and a width of 2.4m. Neglecting friction, what steady force, applied at its outer edge and perpendicular to the...
1. Really Stuck here I've got the period but after that like i said I'm stuck
A simple pendulum having a length of 1.53 m and a mass of 6.74 kg is given an initial speed of 1.36 m/s at its equilibrium position. Assume it undergoes simple harmonic motion.
(a) Determine its period.
2.48 s...
Really Stuck here I've got the period but after that like i said I'm stuck
A simple pendulum having a length of 1.53 m and a mass of 6.74 kg is given an initial speed of 1.36 m/s at its equilibrium position. Assume it undergoes simple harmonic motion.
(a) Determine its period.
2.48 s
(b)...
Homework Statement
A stroboscope is a light that flashes on and off at a constant rate. It can be used to illuminate a rotating object, and if the flashing rate is adjusted properly, the object can be made to appear stationary.
(a) What is the shortest time between flashes of light...
Homework Statement
I have a homework question that I do not understand. I have searched everwhere for the answer. I think I did not find the answer because I am do not understnad waht the question is asking for. Some help would be greatly appreciated.
The question is: What are the...
An exhausted bicyclist pedals somewhat erratically, so that the angular velocity of his tires follows the equation,
ω(t)=(1/2)t - (1/4)sin(2t)
where represents time (measured in seconds).
There is a spot of paint on the front tire of the bicycle. Take the position of the spot at time to...
Why do we use the angle as the base quantity in rotational dynamics instead of, perhaps, arc length? Is it because angular displacement is easier to measure? Would it make any sense to use arc length?
Alright, this problem is really starting to bug me.
----Starting from rest at t0 = 0s, a wheel on a mountain bike has a constant angular acceleration. When t = 5.15s, the angular velocity of the wheel is +7.66rad/s. The angular acceleration continues until t = 13.6s, after which time the...
Here's the question:
the rotor of a helicopter starts from REST and reaches it's operating speed in 7.28s If the angular acceleration of the rotor is 92.5 rad/s^2, what is the angular displacement during that time?
I'm not sure where to start.
If I multiply the time by the acceleration I...