Further Mechanics Flashcards
If an object is moving in circular motion at a constant speed what two things must there be?
acceleration
centripetal force
What 3 equations can be used to calculate the magnitude of angular speed?
ω = 2πf
ω = v/r
ω = Δθ/Δt
where θ is in radians
How do you convert degrees to radians?
θ x 2π/360 = angle in radians
Define angular velocity.
the rate of change of angular displacement
What is angular velocity measured in?
radians per second
What is angular displacement?
the angle moved through relative to a specific axis (the angle between the radius of the circle at the initial position and its final position)
How is time period, T, calculated?
total time taken / number of rotations
What is the velocity, v?
the velocity at which the object is moving around the circle, measured in m/s
How is velocity of an object travelling in circular motion calculated?
v = 2πr/T v = rω
Why does an object moving in circular motion have an acceleration even if it is moving with constant velocity?
the angular velocity is always changing as the tangent to the circle at which the body is moving is constantly changing. Even if it is at a constant speed, the direction in which it is moving is changing, meaning its angular velocity is changing. where there is a change in velocity there is acceleration
Define acceleration.
rate of change of velocity
What is the name given to acceleration due to circular motion?
centripetal acceleration
Why does the object have a centripetal force?
F=ma, the body has mass and centripetal acceleration and therefore has a centripetal force holding it in circular motion
In which direction does the centripetal force act?
towards the centre of the circle, perpendicular to the velocity.
Which factors affect the magnitude of centripetal force?
mass, velocity, radius