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Rotation

Classical mechanics doesn't just describe how an object's position behaves under external influences, but also how its orientation behaves. Using the same principles found in Newtonian mechanics, laws and relations governing rotation can also be derived. Please direct all your questions about moments of inertia, angular velocity, angular momentum, centripetal force, centrifugal force, torque, and spin here.

500 Questions

Which will have the greater acceleration rolling down an incline plane- a large ball or a small ball?

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If they are both solid, and the incline is the same, the rate of acceleration will be the same.

Why doesn't water in a bucket fall when it is vertically rotated?

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Because the centripetal reaction force of the rotating bucket exceeds the force of gravity attempting to pull the water out.

Why torque produce by centripetal force is zero?

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because angle between r n F is zero, both r parallel.

What angular acceleration is necessary to increase the angular speed of a fan blade from 8.5 rads per second to 15.4 rads per second in 5.2 seconds?

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Wf - Wi = a*t, where Wi and Wf are the initial and final angular velocities, respectively, a is the angular acceleration, and t is time.

So, a*t = 15.4 rad/s - 8.5 rad/s = 6.9 rad/s,

thus a = 6.9 rad/s / 5.2 s = 1.3 rad/s2.

How we can find the direction of angular displacement?

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'Angular displacement' is the angle by which the secondary line-to-line voltage lags the primary line-to-line voltage. It can be directly measured by constructing a phasor-diagram for the primary and secondary line-voltages for a three-phase transformer.

How does centripetal force act on a satellite in orbit?

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force is mass x acceleration which for orbit is mass (m) x velocity squared (v^2)divided by radius (R) above center of earth. Since there is also acceleration of gravity (g) then g = v^2/R. You can now calculate velocity of satellite to stay in orbit - it is about 17.500 mph

Why do people not fly off the surface of the rotating earth into space?

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Because the gravitational force between the earth and each person is sufficient

centripetal force to maintain circular motion with a radius equal to the Earth's

equatorial radius and angular velocity of (pi/12) radians per hour.

How can you overcome inertia?

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What is a shaft in mechanics?

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A drive shaft is a tubular piece of pipe, usually made of metal. The shaft extends from the back of the transmission to the real axle and is considered part of the drive train. It is what delivers the power from the motor and transmission to the rear axle and tires.

When torque is applied does it always accomplish work?

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If the 'wheel' is locked and doesn't go anywhere, then there's no work.

But if there's rotation, then the torque does work.

How does thE centrifugal force is related to centripetal force?

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Centrifugal force does not exist, it is only the objects' inertia trying to keep the object moving in a strait path.

What is the centripetal force that follows a car to move around a sharp curve in a roadway?

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The centripetal force (f) can be calculated from:

.

f = m * (v^2 / r ) , where.

.

m = mass of car (say 1 000 kg)

v = velocity (say 30 metres / second)

r = curve radius to centre of gravity of car ( say 50 metres)

so:

f = 1000 * (900 / 50) = 18 000 newtons

When you observe an object moving in a circle what can you infer about the net force acting on it?

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The net force is directed toward the center of the circular path that the object is moving along, and it has a magnitude equal to the velocity squared times mass divided by the radius of the path. (mv^2/r)

What is angular velocity and radial velocity?

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Angular velocity is the rate of change of angle of a body, i.e.


omega =

v / r =

(2*pi*r)/ r*t

=

(2*pi)/ T


where T is the time period of whatever is rotating and r is the radius of the circle.

So if a circular disc is spinning at 1 m/s then the angular velocity of it is 2*pi radians/ second


Radial velocity is the velocity in m/s at the radius of the circle i.e.


radial velocity v =

omega*r

=

(2*pi*r)/ T


(equivalent to speed =

distance/ time where in this case distance is the circumference of the circle and time is the time period of one rotation)

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Angular velocity ω, i

s the rate of change of angular displacement dφ

/dt

. Itspecifies the angular speed (rotational speed) of an object and the axis about which the object is rotating.

ω =

2

πf

=2

π/T [=]

rad/s

where f is the rotation frequency (rev/s) and T the time it takes to make a

revolution (s/rev).

Tangential velocity v. When an object rotates around in a circle with radius r, its

linear velocity tangent to the circle is the tangent velocity v.

v =

ωr

[=]

m/s

Radial velocity vr, is the component of the velocity of an object away or

toward

the origin or point of observation.

The net force on an object moving with constant speed in circular motion is in which direction?

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The net force is always directly toward the center of the circle.