physics
posted by Chris .
An aircraft passes over you with a velocity of 950 km/h at an altitude of 11000 meters. What is the angular velocity two minutes later?
**this problem is tricky because 2 minutes later the aircraft is no longer tangent to the circle.

First do the conversion
950 km/h = 263.9 m/s
Measured from the instant the plane is overhead, the Y coordinate remains
y = 11,000m,
and the X coordinate is
x = 263.9 t, if t is in seconds
The angle from zenith direction (straight up) is
A(t) = arctan (x(t)/y)
What you want is dA/dt. It equals
dA/dt = (dA/dx)*(dx/dt)
= {1 /[1 + (x/y)^2]}*(1/y)*263.9
Evaluate this at t = 120 s, when x = 31,668 m and y = 11,000 m. The answer will be in radians per second
Respond to this Question
Similar Questions

maths/ physics
An aircraft P flying at a constant height has a velocity of (300+j400)km/h. Another aircraft Q at the same height has a velocity of (200+j500) km/h. Determine a)the velocity of P in relation to Q. b) the velocity of Q in relation to … 
MATH
Aircraft are landing and taking off on parallel runways at a busy airport. On its approach, one aircraft descends from an altitude of 1200m to an altitude of 500m in 35s. During the same time, a departing aircraft climbs from an altitude … 
physics
In zerogravity astronaut training and equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in the figure, the aircraft climbs from 24,000 ft to 32000 ft, where it enters the zerog parabola with … 
Math Calculus 2
At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast … 
physics
An airtraffic controller observes two aircraft on his radar screen. The first is at altitude 950 m, horizontal distance 19.9 km, and 23.5° south of west. The second aircraft is at altitude 1200 m, horizontal distance 17.4 km, and … 
machanics
A space aircraft is launched straight up.The aircraft motor provides a constant acceleration for 10 seconds,then the motor stops.The aircraft's altitude 15 seconds after launch is 2 km.ignore air friction .what is the acceleration,maximum … 
physics
A space aircraft is launched straight up. The aircraft motor provides a constant acceleration for 10seconds, then the motor stops. The aircraft's altitude 15seconds after launch is 2km. Ignore air friction. Determine (i) the acceleration, … 
Physics
A small aircraft A is about to land with an airspeed of 80 mi/hr. If the aircraft is encountering a steady side wind of speed 10 mi/hr, what angle (alpha) should the pilot direct the aircraft so the the absolute velocity is parallel … 
physics
a aircraft is flying to north with velocity of 350 m/s, aside wind of velocity 100m/s is blowing due to west. what is the resultant velocity ? 
Physics
A 1000kg aircraft going 25 m/s collides with a 1500kg aircraft that is parked. They stick together after the collision and are moving at 10 m/s. If they skid for 30 seconds before stopping, how far (in meters) did they skid?