Question

12) The Space X Falcon 9 payload orbits the Earth in 2.5 hours at an altitude of 220 miles. a) Determine the angular speed (in radians per hour) of the payload. b) Determine the linear speed of the payload in miles per hour. Assume that the Earth’s radius is 4000 miles.

Answer 1

do comment for any difficulty.

T = time taken to go around 12. Q Payload orbits the earth in 2.5 hours. Payload : Time period = 2.5 hours (1) Earth @ rad/hows 211 Angular Speed (co) = 201 2.5 T - 2.513 rad/ nown 6 linear speed Here , s=distance of the payload from Earth (4000 + 220) - 2.513 * 4220 4. 1.0606 x 10 mile le hour 4220 mile 11. 2 angular velocity of P T (6) - 80 80 min S 60 .. 211 80 x 60 4.712 rad/ min b lincas Velocity W x 8 4.712 x 5.7 2.686 em/ min [r= Distance of the tip from centre] =5.7 cm p takes 2 x 5.7 centimeters in 80 seconds 9 seconds id 6 80x9 2 T1 x 5.7 20.1 second а, rx (5.7)" Area Covered in 12 Seconds X 12 80 em? - 15.31