Circular Motion
Define centripetal acceleration.
Acceleration toward the center of a circle. The rate of change in tangential velocity.
Is an object in uniform circular motion if it is speeding up or slowing down?
An object is no longer in uniform circulation if it is speeding up or slowing down because its acceleration is both changing in velocity and direction.
What is the formula for the force required to keep an object in uniform circular motion as a function of mass, radius, and period of the motion?
F= 4(pi)²mr/T²
What is the formula for the force required to keep an object in uniform circular motion as a function of mass, speed, and radius?
F= mv²/ r This the force you need to keep an object in uniform circular motion, otherwise, the object would venture out tangent to its circular velocity.
Define the period of an object in uniform circular motion.
The period is the time to complete one full circle.
Is it harder to push a bowling ball around a circle with a large radius of a smaller radius?
It is harder to push a bowling ball around a circle with a smaller radius.
Is it harder to turn a bike when you see it going slow or fast?
It is harder to turn a bike when it is going slow.
What is the formula for the centripetal acceleration in terms of the speed of the object and the radius of the circle? Make sure you know the meaning of each variable.
a= centripetal acceleration r = radius of the circle v= squared of the speed
Define acceleration. (This definition should be more precise than "a change in motion/velocity".) what are the SI units of acceleration?
☯ Acceleration is a change in motion (could be direction or velocity). ☯ SI Units = m/s
How is an object in uniform circular motion accelerating? In what direction is the acceleration.
☯ The object is accelerating when it changes direction. ☯ The direction of the acceleration is tangent to the circle depending on where the object is. ☯The faster the object is moving, the higher the centripetal acceleration is. ☯The smaller the circle is, the higher the centripetal acceleration.
An object is in uniform, circular motion. For a constant force, what would happen to the period of the motion if the radius decreased? If the radius increased?
☯ When the object is slower than the circular velocity, the period decrease at a smaller radius. ☯ When the object is faster than the circular velocity, the period increase at a larger radius.
Define uniform circular motion.
☯An object traveling at a constant speed in a circular path. ☯An object in uniform circular motion is at a constant speed, however it is constantly changing direction.
An object in uniform circular motion with a constant radius. What happens to the centripetal force of the period if the motion is decreased? Of the period if the motion is increased?
✝️ the centripetal force of the period increases when motion is decreased. ✝️ the centripetal force of the motion decreases when the motion is increased. ✝️The faster an object moves, the higher the centripetal acceleration is. (smaller radius) ☯ The slower an object is, the lower the centripetal acceleration is. (larger radius)
If the speed of an object in uniform acceleration doubles, what happens to its centripetal acceleration? If the radius is halved, what happens to the centripetal acceleration?
❤️ The centripetal acceleration is higher and quadruples, and the radius of the circle (string-cylinder experiment, gets smaller. ❤️ The centripetal acceleration is higher and doubles, and the radius of the circle (string-cylinder experiment, gets smaller.