At some instant, a particle traveling in a horizontal circular path of radius 5.90 m has a total acceleration with a magnitude of 18.0 m/s2 and a constant tangential acceleration of 12.0 m/s2. determine the speed of the particle at this instant and (1/8) revolution later.

The final speed will be 8.02 rad/s.

Explanation:

Given that

radius ,r=5.9 m

Total acceleration = 18

Tangential acceleration = 12

Here particle is moving in circular path with varying linear speed.So there will be two acceleration ,one is radial acceleration and other one is tangential acceleration.

12=α x 5.9

ω=2.2 rad/s

θ=2πn

θ=2 x π x 1/8 rad

θ=π /4 rad

So the final speed will be 8.02 rad/s.

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.