What is the direction of areal velocity of th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Areal velocity is defined as $\frac{dA}{dt} = \frac{L}{2m}$.Since angular momentum $L = r 	imes p = r 	imes (mv)$,we have $\frac{dA}{dt} = \frac

Vedclass · Accepted Answer

Perpendicular to the plane of the orbit

Vedclass · Answer

(C) Areal velocity is defined as $\frac{dA}{dt} = \frac{L}{2m}$.Since angular momentum $L = r 	imes p = r 	imes (mv)$,we have $\frac{dA}{dt} = \frac{r 	imes mv}{2m} = \frac{1}{2}(r 	imes v)$.The direction of the areal velocity vector is the same as the direction of the angular momentum vector $L$.According to the right-hand rule for the cross product $(r 	imes v)$,the direction of $L$ is perpendicular to the plane containing the position vector $r$ and the velocity vector $v$.Therefore,the direction of the areal velocity is perpendicular to the plane of the earth's orbit around the sun.

What is the direction of areal velocity of the earth around the sun?

Similar Questions

The ratio of the distances of two planets from the sun is $1.38$. The ratio of their period of revolution around the sun is

$A$ geostationary satellite is orbiting the earth at a height of $6R$ above the surface of the earth ($R$ is the radius of the earth). The time period of another satellite at a height of $2.5R$ from the surface of the earth is:

Suppose a planet goes around the Sun with a linear speed twice as fast as that of the Earth. What will be its orbit size compared to that of the Earth? (Radius of Earth $= R$)

If a body describes a circular motion under an inverse square field,the time taken to complete one revolution $T$ is related to the radius of the circular orbit $r$ as:

Kepler discovered

Vedclass Test Series

Exam Paper Generator

Online Exam Module