Average velocity vector of non-uniform circular motion?

AI Thread Summary
The discussion focuses on calculating the average velocity vector and average acceleration vector for a particle in non-uniform circular motion. The particle starts from rest and completes a quarter revolution in 2 seconds, moving from coordinates (0.0m, 2.0m) to (2.0m, 0.0m). The speed at t=2.0s is calculated using the distance traveled and time, yielding a value of v = π/2. Participants emphasize the need to use appropriate equations for average velocity and acceleration, suggesting the use of SUVAT equations for uniform acceleration. The conversation highlights the importance of including units in the final answers for clarity.
Carpetfizz
Messages
13
Reaction score
0

Homework Statement


A particle starting from rest revolves with uniformly increasing speed in a clockwise circle in an xy plane. The center of the circle is at the origin of an xy coordinate system. At t=0, the particle is at x=0.0m, y=2.0m. At t=2.0s, it has made one-quarter of a revolution and is at x=2.0m,y=0.0m.

(a) Speed at t=2.0s?
(b) Average velocity vector?
(c) Average acceleration vector during this interval.

Homework Equations



$$a_{tan} = \frac{dv}{dt}$$
$$a_R = \frac{v^2}{r}$$
$$a = \sqrt{a^2_{tan}+a^2_{R}}$$

The Attempt at a Solution



a)
$$r = 2$$
$$d = \frac{2 \pi (2)}{4} = \pi$$
$$v = \frac{\pi}{2}$$

b, c) I don't know where to start because it's asking for a vector which implies that we need to calculate the "average angle" ?
 
Physics news on Phys.org
Your answer for a) is wrong. what equations do you know for uniform acceleration? (Usually called the SUVAT equations.)
Also, you should state the units in the answers.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top