Hyperloop: Suspension forces

The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. The Hyperloop reduces friction between the pods and the tunnel by supporting the pod on a cushion of air. If the mass of the Hyperloop pod is 3100 kg 3100~\mbox{kg} , what force in N must be exerted on the pod by the air cushion to keep it suspended?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s 2 -9.8~\mbox{m/s}^2 .


The answer is 30380.

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12 solutions

Devesh Rai
Dec 22, 2013

HELLOW TO ALL . IN ORDER TO KEEP POD SUSPENDED IN THE AIR THE AIR MUST EXERT FORCE EQUAL AND OPPOSITE TO THE FORCE EXERTED BY POD . WE KNOW THAT WEIGHT IS THE FORCE EXERTED BY EVERY OBJECT ON THE EARTH AND HERE ACCLERATION IS THE ACCELERATION DUE TO GRAVITY . SO WE KNOW THE RELATION
F = m a s s × a c c e l e r a t i o n mass \times acceleration
. * F = 3100 × 9.8 3100 \times9 . 8 * . WHICH WILL GIVE YOU 30380 \boxed{30380} N AS YOUR ANSWER .

the spelling of hellow is hello not hellow I am sorry for that .

Devesh Rai - 7 years, 5 months ago
Russell Few
Aug 18, 2013

The force exerted down by the Hyperloop, by Newton's second law F = m a ) F=ma ) , is ( 3100 k g ) ( 9.8 m / s 2 ) = 30380 N (3100kg)(9.8m/s^2)=30380N . To keep it suspended, the upward force must equal the downward force, so 30380 N \boxed{30380N} must be exerted on the pod.

Michael Tang
Aug 20, 2013

The force exerted by the air cushion must be equal to the gravitational force on the pod. Using the formula F = m a , F=ma, we have F = ( 3100 kg ) ( 9.8 m/s/s ) = 30380 N . F = (3100 \; \text{kg})(9.8 \; \text{m/s/s}) = \boxed{30380} \; \text{N}.

Khaja Zubair
Dec 31, 2013

f=ma where f=3100*9.8=30380

Budi Utomo
Dec 24, 2013

3100*9.8 = 30380. Answer : 30.38E+3

You just have to multiply 3100 kg to 9,8 => 30380 kg Because your weight its mass x gravity

Jc Dela Paz
Feb 11, 2014

Since the Hyperloop functions by suspending on a low pressure cushion of air. The pressure should exert a force greater than its mass since the gravitational pull of the earth should be considered.

F=ma is the formula used to get the force in Newtons(N)

Simply substitute the given figures then multiply. Thus,

F= (3100 kg)(9.8 m/s²) then, F= 30380 kg.m/s² or 30400 kg.m/s²

that's the final answer.

Dicky Djayadi
Aug 21, 2013

In order to keep the pod on a cushion of air, the force exerted must be F = m × g F=m \times g , which means F = 3100 × 9.8 = 30380 F=3100 \times 9.8=30380

Donovan Eravelil
Aug 19, 2013

F=ma But Here a=g Therefore here F=mg m=3100kg g=9.8m/s F=3100*9.8=30380

Joshua Crouch
Aug 19, 2013

force=mass * acceleration

mass=3100kg, acceleration=9.8 m/s^2

force=3100 * 9.8

force=30380

Noel Quirol
Aug 19, 2013

(3100kg)(9.8 m/s^2) = 30380N The minimum force to be exerted

Noreen Marpuri
Aug 18, 2013

F=mg

F = force, weight (N)

m = mass (3100kg)

g = acceleration of gravity (9.8 m/s^2)

F=3100kg(9.8m/s^2) =30380kgm/s^2 or =30380 Newton

beta,tumse na ho payega.

mukul suryawanshi - 7 years, 9 months ago

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