differential equations. You have 2 constraints; vz=0 @ r=R1 and r=R2
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
An annulus. Area = pi (R2 - r2) when R is radius of larger circle and r is radius of smaller circle.
the velocity will be velocity divided by square root of 2
linear velocity= radius* angular velocity
the tangential velocity is equal to the angular velocity multiplied by the radius the tangential velocity is equal to the angular velocity multiplied by the radius
A gravitational field works by creating a velocity profile that masses in the field follow. For example the Earth has a velocity of 29814m/s at the radius of 150Gigameters from the Sun. This This velocity V= Squareroot[GM/r] this velocity is independent of the Earth and just depends on the Gravitational field of the Sun. The Direction of the Velocity is angled to maintain the conservation of energy and balance the centripetal and centrifugal forces.
For two bodies with equal radius, the more massive has the greater escape velocity. For two bodies with equal mass, the one with smaller radius has the greater escape velocity. Both conditions listed in the question indicate greaterescape velocity.
mass, velocity and radius
Since a=Rω², when you double the radius, but hold the angular velocity constant, you double the force. Also when you increase the angular velocity or velocity by a factor of √2 and hold the radius constant.
Steady state temperature in an annulus of inner radius R1 and outer radius R2.Find the expression of the steady state distribution of the temperature T(x,y) satisfying the Laplace equation with the boundary conditions f(θ) and g(θ) respectively on the circles with radii R1 and R2. Question Modified: this is the complete question.
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Centripetal force is = mass * velocity square divided by radius