# Physics/Math

posted by .

At time t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (9.00i + 8.00j) m/s^2. It moves at constant speed. At time t2 = 3.00s (3/4 of a revolution later), it's acceleration is (8.00i - 9.00j) m/s^2. Find the radius of the path taken by the particle.

Constant speed implies no tangential acceleration. The acceleration is centripetal. So you know it has an angular velocity of displacement/time (solve that, you have the numbers above.)

magnitude acceleration= w^2 * r solve for r.

## Similar Questions

1. ### Re: Physics/Math

At time t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (9.00i + 8.00j) m/s^2. It moves at constant speed. At time t2 = 3.00s (3/4 of a revolution later), it's acceleration is (8.00i - 9.00j) m/s^2. …
2. ### Physics

Two forces act on a 0.200 kg ant: F1 =(3.00i - 8.00j)N and F2=(5.00i + 3.00j)N. Express the net acceleration of the ant in unit vector notation. The resultant force is 8.00 i - 5.00 j Newtons. Divide that by the mass (0.2 kg) for the …
3. ### Physics

A particle initially located at the origin has an acceleration of a= 5.00J^ m/s^2 and an initial velocity of v0= 8.00I^ m/s A) Find the vector position at any time t where t is measured in seconds. Find the vector velocity at any time …
4. ### physics

Find a vector with a magnitude of 1.00 that bisects the angle between the vectors 5.00i + 11.0j and 2.00i − 1.00j. Give your answer in rectangular coordinates. Please explain how you arrived at the solution. Thanks!
5. ### Physics

A 0.500 kg sphere moving with a velocity (2.00i - 3.50j + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00i + 2.00j - 2.80k) m/s. (a) If the velocity of the 0.500 kg sphere after the collision is (-1.00i …
6. ### physics

1.Give examples of a one-dimensional motion where (a) the particle moving along positive x-direction comes to rest periodically and moves forward. (b) the particle moving along positive x-direction comes to rest periodically and moves …
7. ### Physics College - Circular motion

At time t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (6.00 m/s2) i^+ (4.00 m/s2) j^. It moves at constant speed. At time t2 = 5.00 s, its acceleration is (4.00 m/s2) i^+ (-6.00 m/s2) j^. What is …
8. ### science

m=-2.00i+6.00j-4k and n=2.00i-3.00j. what is the dot product of m and n?
9. ### Physics

a 2.00 kg object has a velocity of 4.00i -3.00j m/s. What is the kinetic energy at this moment?
10. ### Physics

At time t1 = 2.00 s, the acceleration of a particle in counterclockwise circular motion is (5.00 m/s2)i hat + (6.00 m/s2)j. It moves at constant speed. At time t2 = 5.00 s, its acceleration is (6.00 m/s2)i hat + (−5.00 m/s2)j. …

More Similar Questions