If r=a cost i +a sint j+at tan ak,then
find values of |(dr/dt)(d²r/dt²)|
and(dr/dt)(d²r/dt²)*(d^3r/dt^3).

Question

If r=a cost i +a sint j+at tan ak,then find values of |(dr/dt)*(d²r/dt²)| and(dr/dt)*(d²r/dt²)*(d^3r/dt^3).

vikas askiitian expert · Answer

r = acost i +asint j +at(tanak) k..................1

dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k

dr/dt =-asint +acost +atana k ...................2

d²r/dt² = -acost i+ -asint j + 0 k ...............3

d³r/dt³ = asint i -acost j ...............4

now use these equations and get ur ans ...

Dileep model · Answer

askiitians.com 0 Forum Vectors Vectors problems If r=a cost i +a sint j+at tan ak,then find values of |(dr/dt)*(d²r/dt²)| and(dr/dt)*(d²r/dt²)*(d^3r/dt^3). PRADEEP KUMAR, 10 years ago Grade: 1 Answers vikas askiitian expert 509 Points 10 years ago r = acost i +asint j +at(tanak) k..................1 dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k dr/dt =-asint +acost +atana k ...................2 d2r/dt2 = -acost i+ -asint j + 0 k ...............3 d3r/dt3 = asint i -acost j ...............4

Dileep model · Answer

If r=a cost i +a sint j+at tan ak,then find values of |(dr/dt)*(d²r/dt²)| and(dr/dt)*(d²r/dt²)*(d^3r/dt^3).

Vaibhavi Gupta · Answer

given r= acosti+asintj+attanak dr/dt= -asinti+acostj+atanak d^2r/dt^2= -acosti-asintj+0k • |(dr/dt) x (d^2r/dt^2)|=| (a^2sint tana)i-(a^2cost tana)j+(a^2)k| |(dr/dt) x (d^2r/dt^2)|= a^2seca • d^3r/dt^3 = asinti-acostj+0k (dr/dt) *(d^2r/dt^2) *(d^3r/dt^3) = -(asinti+acostj+atanak) *(-acosti-asintj) *(asinti-acostj)

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If r=a cost i +a sint j+at tan ak,then find values of |(dr/dt)(d²r/dt²)| and(dr/dt)(d²r/dt²)*(d^3r/dt^3).

If r=a cost i +a sint j+at tan ak,then
find values of |(dr/dt)(d²r/dt²)|
and(dr/dt)(d²r/dt²)*(d^3r/dt^3).

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