Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

10. 02.85 points | PrEvicus Answers 0SColPhye1 6.2012 Taking the age of Earth to

ID: 2031241 • Letter: 1

Question

10. 02.85 points | PrEvicus Answers 0SColPhye1 6.2012 Taking the age of Earth to be about 4 x 10 years and assuming its orbital radius of 1.5x 1011 m has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). My Notes Aak Your Teacher Enter ? Reading Submit Answer Save Progress 0/2.85 points1 Previous Anseers OscoPtys 1 0.2020 My Notes Ask Your At takeoff commercial jet has a 65.0 m/s speed. Its tires have a diameter of 0.550 m. a) At how many rpm are the tires rotating? (b) What is the centripetal acceleration at the edge of the tire? (c) With what force must a determined 105 kg bacterum cling to the rim? rpm m/s? Take the ratio of this force to the bacterium's weight (force from part (c)/bacterium's weight) Additional Materials

Explanation / Answer

10) Total distance travelled,

d = no of revolutions*circumafranece of the orbit

= N*2*pi*r

= 4*10^9*2*pi*1.5*10^11

= 3.77*10^21 m

11)

given

v = 65 m/s
d = 0.55 m

r = d/2 = 0.55/2 = 0.275 m

a) use, w = v/r

= 65/0.275

= 236 rad/s

= 236*60/(2*pi)

= 2254 rpm

b) centripetal acceleration, a = v^2/r

= 65^2/(0.275)

= 1.54*10^4 m/s^2

c) F = m*a

= 10^-15*1.54*10^4

= 1.54*10^-11 N

d) F/Fg = 1.54*10^-11/(10^-15*9.8)

= 1571