What relates the torque on a playground merry-go-round to the resulting angular acceleration?
the merry-go-round’s rotational inertia
.
A force causes an object to rotate.
How do you find angular acceleration from torque?
If more than one torque acts on a rigid body about a fixed axis, then the sum of the torques equals the moment of inertia times the angular acceleration:
∑ i τ i = I α
.
What is the relationship between torque and angular acceleration quizlet?
Angular acceleration is
directly proportional to the net torque and inversely proportional to the moment of inertia
.
What is responsible for angular acceleration?
In physics, angular acceleration refers to the time rate of change of angular velocity. … For rigid bodies, angular acceleration must be caused by
a net external torque
.
What is the product of torque and angular displacement?
The product of torque and angular displacement is
work
.
Is torque directly proportional to angular acceleration?
“Angular acceleration of an object is
directly proportional to the net torque
acting on it and inversely proportional to its rotational inertia.”
What is the relationship between torque and angular velocity?
The instantaneous power of an angularly accelerating body is the torque times the angular velocity:
P=τω P = τ ω
. There is a close relationship between the result for rotational energy and the energy held by linear (or translational) motion.
What is the difference between torque and angular acceleration?
Angular momentum applies similarly to rotation of a body. A spinning top continues to rotate due to its angular momentum and heavier the top higher the angular momentum. Torque is the
equivalent of force
for rotational motion. Torque can be described as a twisting force that causes rotation.
What causes positive torque?
Counterclockwise
is the positive rotation direction and clockwise is the negative direction. For example, a torque that rotates an object counterclockwise is a positive torque (see figure 6 below). … An applied force that causes a positive counterclockwise torque.
Is angular momentum always conserved explain quizlet?
Its angular momentum is:
always conserved
. When there is no net torque, angular momentum is always conserved. Suppose I triple the angular velocity of an object with a fixed moment of inertia.
What is a normal angular acceleration?
It is the change in the angular velocity, divided by the change in time. The average angular acceleration is
the change in the angular velocity, divided by the change in time
. The angular acceleration is a vector that points in a direction along the rotation axis. … After 4.00 s, the disc is spinning at 160 radians/s.
Is angular acceleration and tangential acceleration the same?
In rotational motion, tangential acceleration is a measure of how fast a tangential velocity changes. … It is equal to the product of angular acceleration α to the radius of the rotation. The
tangential acceleration = radius of the rotation * its angular acceleration
.
Is angular acceleration constant?
Strategy. Since the angular velocity varies linearly with time, we know that the
angular acceleration is constant
and does not depend on the time variable. The angular acceleration is the slope of the angular velocity vs.
Is angular momentum always conserved?
In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum. It is an important quantity in physics because it is
a conserved quantity
—the total angular momentum of a closed system remains constant.
What is torque equal to?
The torque, specified with regard to the axis of rotation, is equal to
the magnitude of the component of the force vector lying in the plane perpendicular to the axis
, multiplied by the shortest distance between the axis and the direction of the force component.
What is the formula to calculate torque?
Mathematically, torque can be written as
T = F * r * sin(theta)
, and it has units of Newton-meters. When the sum of all torques acting on an object equals zero, it is in rotational equilibrium.
