18 Questions
What is the magnitude of acceleration in uniform circular motion?
$\omega^2 r$
In uniform circular motion, the direction of acceleration is along which vector?
Radius
What component of acceleration causes changes in the direction of velocity in non-uniform circular motion?
Radial (centripetal) component
What is the equation for the radial (centripetal) component of acceleration in non-uniform circular motion?
$v^2/r$
In uniform circular motion, what remains constant about the acceleration?
Magnitude and direction
What describes non-uniform circular motion?
Changing speed and direction
What does the average acceleration depend on?
Acceleration at time t1 and t2
How is instantaneous acceleration defined?
Acceleration at a specific instant of time
What does it mean when the force acting on a particle is zero?
The particle is in uniform motion
In which type of motion is acceleration constant?
Uniformly accelerated motion
What is the acceleration of a free-falling object on Earth?
10 m/s/s
What term describes acceleration acting on a particle that remains constant?
Uniform acceleration
What is the definition of acceleration?
Acceleration is the rate of change of velocity with respect to time
Which integral expression can relate position x and velocity v if acceleration a is in terms of x?
$\int_{0} a(x) dx = \int_{x} dx$
In uniform motion, the acceleration is ________.
Zero
What important expression for acceleration can be obtained when acceleration is in terms of velocity?
$a = v dv/dx$
If acceleration a is in terms of time t, the integral relating time and acceleration is ________.
$\int_{0} a(t) dt = \int_{0} dt$
In kinematics, what does the relationship $\int_{t} dx = \int_{0} v dt$ represent?
Relation between velocity and displacement
This quiz covers the concepts of velocity and acceleration in circular motion. It explains how to calculate velocity and acceleration vectors at different positions on a circle, and the direction of these vectors. The quiz also discusses the magnitude of acceleration and its direction towards the center of the circle.
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