Kinematics & Circular Motion Flashcards
Finding Position?
Final Position = Initial Position + Initial Velocity * Time + (1/2) acceleration * Time square
Finding Velocity
Final Velocity = Initial Velocity+ Acceleration * Time
Final Velocity Squared = Initial Velocity Squared + Twice Displace * Acceleration
Relationships between position, velocity and acceleration?
Derivative of position will lead to velocity and derivative of velocity will lead to acceleration
Integral of acceleration will lead to velocity and integral of velocity will lead to position
Velocity of a body thrown in parabolic orbit at its maximum height?
The y component of the velocity will be zero, whereas the x component will remain the same as the initial velocity.
What is the centripetal acceleration equal to?
Velocity squared divided by radius (distance from the body in circular motion to the center of the circle)
What is the direction of the centripetal acceleration?
Towards the center of the circle path.
Besides, it is perpendicular to the tangential acceleration.
Relationship between linear velocity and angular one?
V = w*r
Relationship between tangential acceleration and angular acceleration?
a = alpha * r
Relationship between centripetal acceleration and angular velocity?
A_{c} = w * w * r
In the presence of tangential and centripetal acceleration, What is the total acceleration equal to?
Square root of the sum of the squares of the individual accelerations.
What is the relative velocity of a body B with respect to a body A?
V_{BA} = V_{B} - V_{A}
What is period both in equation and interpretation?
T = Time/Cycles
It describes the time it takes a body to perform a whole cycle
What is the frequency both in equation and interpretation?
f = 1/T = Cycles/Time
It represents the number of cycles a body performs in one second.
S.I. Units of Period and Frequency?
Seconds & Hertz, respectively.