wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A horse runs along a circle with a speed of 20 km/h. A lantern is at the centre of the circle. A fence is there along the tangent to the circle at the point at which the horse starts. The speed with which the shadow of the horse moves along the fence at the moment when it covers 18 of the circle (in km/h) is

Open in App
Solution

tanθ=xr
x=rtanθ

dxdt=rsec2θdθdt
dxdt=rωsec2θ=vsec2θ
When, θ=2π8
[full circle=2π]
dxdt=vsec2(π4)=2v=40 km/h

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Centripetal Force
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon