a = v^2/r
.
r = 0.25 metres
v = ((0.25 * 2 * pi * 20) / 60) = 0.5236 metres / sec
so:
a = (0.5236^2) / 0.25
.
a = 1.097 (m/s)/s
What causes spin in a projectile during its projectile motion?
The spin is forced on to the bullet or shell by grooves in the gun barrel, this is to take advantage of the fact that the axis of a rotating object will tend to remain parallel, this , in effect keeps the shell or bullet in a good aerodynamic profile, without tumbling (which absorbs energy). These grooves are known as rifling and so any weapon which has those grooves in the barrel is said to be rifled.
The amount of centripetal force on a mass moving in a circle is calculated by multiplying the mass of the object by the square of its velocity, and then dividing the result by the radius of the circular path. This can be represented by the formula Fc = mv^2/r, where Fc is the centripetal force, m is the mass, v is the velocity, and r is the radius.
What does inertia varies depend on?
Inertia varies depending on an object's mass. The greater the mass of an object, the greater its inertia. The shape and size of an object can also affect its inertia.
Explain why a centripetal force does not do work on a circularly moving object?
A centripetal force does not do work on a circularly moving object because the force is always directed towards the center of the circle, while the object moves tangentially to the circle. Since work is defined as force acting in the direction of displacement, the centripetal force and the displacement are perpendicular to each other, resulting in no work being done.
How do you change the speed without changing the angular momentum?
To change the speed without changing the angular momentum, you can change the radius of the rotating object. This is because angular momentum is the product of an object's moment of inertia, its mass, and its angular velocity. By adjusting the radius while keeping the other factors constant, you can alter the speed without affecting the angular momentum.
Why Centripetal acceleration always directed toward the centre of circle?
Centripetal acceleration is directed towards the center of the circle because it is the force that keeps an object moving in a circular path. Given that an object moving in a circular path is constantly changing its direction, the centripetal acceleration is necessary to ensure that the object remains on the curved path rather than moving in a straight line.
What is the angular speed of a 3000watt motor?
The angular speed of a motor depends on its design and specifications. To calculate the angular speed, you would need to know additional information such as the motor type (e.g., induction motor, synchronous motor), number of poles, and operating frequency. Without this information, it is not possible to provide a specific angular speed for a 3000-watt motor.
Why do galaxies spin in different directions?
Most, but not all, spiral galaxies rotate in the same direction - clockwise as seen from Earth.
Some, like the Black Eye Galaxy, have an inner region that rotates in the opposite direction to the outer region.
What is the Relation between angular velocity with radius?
Angular velocity is inversely proportional to the radius of rotation. This means that as the radius increases, the angular velocity decreases, and vice versa. Mathematically, the relationship can be expressed as ω = v/r, where ω is the angular velocity, v is the linear velocity, and r is the radius.
What is angular speed measured in?
Usually radians per second.
Any unit is appropriate, if it consists of (a unit of angle) divided by (a unit of time)
Angular momentum is a physical quantity that represents the rotational motion of an object around an axis. It is the product of an object's moment of inertia and its angular velocity. In simpler terms, it describes how fast an object is spinning around a fixed point.
What is difference between speed and torque?
Speed refers to how fast an object is rotating or moving, while torque is the force that causes an object to rotate around an axis. Speed is measured in units like revolutions per minute (RPM) or meters per second, while torque is measured in units like Newton-meters or foot-pounds. In a mechanical system, speed and torque are related through the equation power = torque x speed, where power represents the rate at which work is done.
Can a small force ever exert a greater torque than a larger force?
Of course. Torque is the product of the (force) times (its distance from the axle).
If the force you have doesn't produce enough torque, you simply apply the same
force farther from the axle, and that increases the torque.
That's why, if you can't crack the nut with the wrench you have and the
strength you have, you slip a piece of pipe over the handle and make the
wrench look twice as long. In that way, you have temporarily transformed the
wrench into a "Persuader", and the nut is highly likely then to be persuaded.
If you can arrange for the small force to be exerted at a long enough distance
from the axle, it can apply as much or more torque than the larger force can
when applied closer in.
What is the right-hand rule for angular displacement?
The right-hand rule for angular displacement states that if you align your fingers in the direction of rotation, your thumb points in the direction of the angular displacement vector. This rule helps determine the direction of rotation or angular displacement in a given scenario.
What is the relationship between radial force and angular velocity squared?
The relationship between radial force and angular velocity squared is described by the centripetal force equation, which states that the radial force required to keep an object moving in a circular path is equal to the mass of the object times the square of its angular velocity, multiplied by the radius of the circular path. This relationship shows that an increase in angular velocity will result in a corresponding increase in the radial force needed to maintain the object's circular motion.
What is the difference between linear and angular kinematics?
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
When is net force zero but torque is not?
When multiple forces acting on an object cancel each other out, resulting in a net force of zero, but those forces are not aligned to pass through the object's center of mass, causing a torque to be present. This situation can occur when forces are exerted at different distances from the center of mass, creating a rotational effect even though the object remains stationary.
What does centrifugal force effect?
Centrifugal force is a fictitious force that appears in a rotating frame of reference. It tends to push objects away from the center of rotation. This effect is often observed in mechanical systems like centrifuges and amusement park rides.
An example of centripetal acceleration?
One example of centripetal acceleration is when a car goes around a curve on a road. The car accelerates towards the center of the curve due to the centripetal force required to keep it moving in a curved path.
What is angular speed of second hand mint hand and hour hand calculated angular velocity?
Second hand . . . 360 degrees per minute
Minute hand . . . 360 degrees per hour
Hour hand . . . 360 degrees per 12 hours = 30 degrees per hour
Torque is the combination of perpendicular distance and weight; it is not a true force
Is Angular accelration is produced by torque?
no angular acceleration is not producd by torque is a factor of torque T= anguar aceleration X momentum
I say yes, because torque is another word for a couple that is equivalent to two equal parallel forces in opposite directions but separated by a distance. Torque acting on an inertia produces angular acceleration exactly as a force acting on a mass produces linear acceleration. Actually the answer above does not make much sense to me. Angular momentum is the angular rotation speed times the inertia. Finally inertia is the sum of all the bits of mass each multiplied by the square of distance from the inertial centre.
Can centripetal force produce rotation?
Yes, centripetal force is required to maintain rotational motion by pulling an object towards the center of the rotation. Without centripetal force, the object would move in a linear path rather than rotating.
What is the difference between magnetic moment and angular momentum?
Magnetic moment refers to the property of a magnet or a current-carrying loop to produce a magnetic field, while angular momentum is a measure of the rotational motion of an object. In terms of physical quantity, magnetic moment is a vector quantity, while angular momentum is a vector quantity as well.