Question

If the magnitude of tangential and normal acceleration of a particle moving on a curve in a plane

Answer 1

The idea of tangential and normal components comes up ONLY when the particle is travelling along a curve, as a curve has a normal and a tangent (plane). ... In the special case of rotational motion (motion in a circle), the normal component of acceleration is v*v/r and the tangential component is 0.

Answer 2

R = a (kt + c)²

The graph will be a half parabola between R and T.

GIVEN: Tangential Acceleration = Constant

             Normal Acceleration = Constant
TO FIND Radius Curvature of Time.
SOLUTION:

As we are given,

The tangential acceleration is constant.

The normal acceleration is constant.

As we know,

Tangential Acceleration

= dv/dt

= Constant (k)

Vt = kt + C

Where k and C are constants.

Also, Normal Acceleration

V²n/R = Constant (R')

V²n/R = (R')
R = aVt²                                         [Vt = Vn]

R = a (kt + C)²

Where a = 1/k' = Constant

Therefore,

R = a(kt+c)²

Also, the graph between R and T is half Parabola.

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