An object is moving in three dimensions, following a circular path at a constant radius from the origin, with a constant angular velocity ω--зі + k. if its linear velocity is expressed as v-vi + vyj+ vzk, what is the value of vy at the moment when its position vector is r-i+ 2j - 3k?

Explanation:

As we know that due to rotational motion the linear velocity of any point is given as

here we know that

now we have

So y component of velocity is given as

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.