 # 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).

11 years ago

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

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 ...

one year ago
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).

509 Points
10 years ago
r = acost i +asint j +at(tanak) k..................1

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

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

d3r/dt3 = asint i -acost j ...............4
one year ago
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)