Radial Velocity Calculator:
Enter the values of change in distance between the object and the observer, Δr(rad) and time interval, Δt(s) to determine the value of radial velocity, Vr(rad/s).
Radial Velocity Formula:
Radial velocity, Vr(rad/s) is the rate at which an object moves towards or away from a point of observation, calculated along the line of sight.
Radial velocity, Vr(rad/s) in radians per seconds is calculated by dividing the change in distance between the object and the observer, Δr(rad) in radians by time interval, Δt(s) in seconds.
Radial velocity, Vr(rad/s) = Δr(rad) / Δt(s)
Vr(rad/s) = radial velocity in radians per seconds, rad/s.
Δr(rad) = change in distance in radians, rad.
Δt(s) = time in seconds, s.
Radial Velocity Calculation:
1.A car is approaching a radar speed sign and moves from 100rad to 50rad away from it over a period of 3 seconds. Calculate its radial velocity.
Given: Δr(rad) = 100 – 50 = 50rad, Δt(s) = 3s.
Radial velocity, Vr(rad/s) = Δr(rad) / Δt(s)
Vr(rad/s) = 50 / 3
Vr(rad/s) = 16.67rad/s.
2.Suppose an object moves a distance of 200rad and has a radial velocity of 40rad/s. Calculate the time it takes for this movement.
Given: Δr(rad) = 100 – 50 = 200rad, Vr(rad/s) = 40rad/s.
Radial velocity, Vr(rad/s) = Δr(rad) / Δt(s)
Δt(s) = Δr(rad) / Vr(rad/s)
Δt(s) = 200 / 40
Δt(s) = 5s.