Calculate the total linear acceleration of a particle moving in a circle of radius 0 4m at the instant when - Physics - Motion In A Straight Line

Question

Calculate the total linear acceleration of a particle moving in a
circle of radius 0 4m at the instant when its angular velocity is 2
rad/s and its angular acceleration is 5 rad/s2 (MIP)

Sushant · Accepted Answer

hi Chris,

Please find below the solution to the asked query:

As we know for a body moving in a non
uniform motion in a circle has two component of acceleration:

The first one is the radial acceleration  ie
 w2R ​The second being the tangential acceleration  =αRgiven R = 0
4 mW = 2 rad/secα = 5 rad/sec2 so an = w2R an = 22(0
4) an = 4 × 0 4 = 1
6 m/s2now at = αRat = 5 × 0
4 = 2 m/s2so the net acceleration = at2+ an2anet = 1
62 +22 = 2 56 +4  =6 56 = 2
56 m/s2anet =  2 56 m/s2

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Calculate the total linear acceleration of a particle moving in a circle of radius 0.4m at the instant when its angular velocity is 2 rad/s and its angular acceleration is 5 rad/s2. (MIP)

Calculate the total linear acceleration of a particle moving in a circle of radius 0.4m at the instant when its angular velocity is 2 rad/s and its angular acceleration is 5 rad/s². (MIP)