Can someone help me calculate the speed of this please? Thank you very much!

enter image source here

2 Answers
Oct 22, 2017

1021.05color(white)(i) ms^-1

Explanation:

Orbital speed = sqrt(gR)

Here,

  • g_"at moon's distance"=(6.7*10^-11*5.97219 * 10^24)/( 3.85 × 10^8)^2
    =0.00270795635color(white)(i)ms^-2

  • Orbital radius of Moon = 385,000 color(white)(i)km = 3.85 × 10^8 m

thereforeOrbital speed = sqrt(0.00270795635color(white)(i)ms^-2 xx 3.85 xx 10^8 m)

~~ 1021.05color(white)(i) ms^-1

Oct 22, 2017

1023.22 "m"/"s"

Explanation:

"Speed"=color(red)"Distance"/color(blue)"Time"

Here,

  • "Distance of Moon from Earth (avg.)"=384,400" km"
    =384,400xx1000" m"
  • "Distance travelled by Moon"="Circumference"
    =2pir=color(red)(2xxpixx384,400xx1000 " m"
  • "Time taken to complete one orbit"=27.32" days"
    color(blue)(=27.32xx24xx60xx60" s"

=color(red)(2xxpixx384,400xx1000 " m")/color(blue)(27.32xx24xx60xx60 " s")

=color(red)(2415256432.1" m")/color(blue)(2360448" s")

=1023.22 "m"/"s"