Question

A particle describes a horizontal circle on the smooth inner surface of a conical funnel if the height of the plane of the circle above the vertex is 9.8 the speed of the particle is​

Answer 1

From geometry of figure-

Rsinθ=mg−−−−−−−−−−−−−1

Rcosθ=  

r

mv  

2

 

​  

−−−−−−−−−−−−−−−2

On dividing equation 1 by 2-

tanθ=  

v  

2

 

gr

​  

 

h

r

​  

=  

v  

2

 

gr

​  

 

v=  

gh

​  

 

v=  

9.8×9.8×10  

−2

 

​  

 

v=0.98m/s