this formula gives the average angular velocity. You are looking for the instantaneous final angular velocity, which is twice the average.Miike012 said:Assuming initial angular velocity is 0 I want to solve for final position theta
Ang Acceleration = Δw/Δt = w/t
w = Δ(theta)/Δt = theta/t
The displacement theta is {(wo+wf)/2} (t)acc = theta/t^2
theta = (ang acc)(t^2)
but how come the kinematic equation is...theta = (ang acc)t^2/2
Where did my 2 go?
The kinematic equations are used to describe the motion of an object and to predict its future position, velocity, and acceleration. They are commonly used in physics and engineering to solve problems related to motion.
There are five kinematic equations, also known as the "Big 5" equations. They are:
- Displacement = initial velocity x time + 1/2 x acceleration x time^2
- Final velocity = initial velocity + acceleration x time
- Displacement = (initial velocity + final velocity) x time / 2
- Final velocity^2 = initial velocity^2 + 2 x acceleration x displacement
- Displacement = initial velocity x time + 1/2 x acceleration x time^2
Kinematics is the study of motion without considering the forces that cause the motion. It focuses on the position, velocity, and acceleration of an object. On the other hand, kinetics is the study of motion in relation to the forces acting upon an object. It involves analyzing the forces that cause motion and how they affect an object's motion.
Yes, kinematic equations can be used for any type of motion as long as the motion is constant or can be broken into smaller sections of constant motion. This means that the acceleration of the object must remain constant throughout the motion.
Kinematic equations can be applied to real-life situations such as calculating the time it takes for a ball to reach the ground when thrown, determining the maximum height of a roller coaster, or predicting the distance a car will travel before coming to a stop. They are also commonly used in sports, such as calculating the trajectory of a baseball or determining the acceleration of a runner.