Suppose that B is on a flying saucer that is spinning about

Suppose that B is on a flying saucer that is spinning about its geometric center. B is at edge of the saucer, which has a radius of 100 m. the velocity of B, as measured in a background inertial frame of reference is 72 km/h (see figure). B edge views A at this instant. A is at the edge of an identical flying saucer. The distance between A and B is 30 m at this instant. A has a velocity of 72 km/h at this instant, as measured in the inertial frame. a) show that the velocity of A as measured by B is 46 m/s (V a/b)???. b) find the acceleration of A as measured by B (A a/b)???. (DO NOT MAKE ANY ASSUMPTIONS).

18 WA 100 m | Yel : 72 Km/hr -Lal= 72 Km/hr wyhr

Solution

Velocity of A = 72 km/h = 20 m/s

velocity of b = -20 m/s ( cause it is in opposite direction of A )

therefore relative velocity of A w.r.t. B = 20- (-20) =40 m/s

b) accelaration of A = V²/R = 20²/100 = 4 m/s² towards centre of second saucer

acc. of B = -4 m/s² i.e. towards centre of first saucer

therefore, accelration of A w.r.t. B = 4-(-4) =8 m/s²