A particle is moving along a circular path. The angular velocity, linear velocity, angular acceleration and centripetal acceleration of the particle at any instant are `vec(omega),vec(v),vec(a),vec(a)_(c)` respectively. Which of the following relations are correct ?

Options

A. `vec(omega ) bot vecv`
B. `vec(omega) bot veca_(c )`
C. `vec omega bot vec alpha `
D. `vec v bot vec a_(c ) `

Answer

C

Explanation

The direction of `omega ` is along the axis while ` vec v and vec a_(c )` in the plane of the circle
` therefore omega ` is perpendicular to v as well as `a_(c ) `
` therefore vec omega bot vec alpha ` is wrong the direction of both `omega and alpha ` are along the axis and hence they are in the same direction .