- #1
febbie22
- 37
- 0
Hi i have this question:
A balloon is filled with helium gas which weighs approximately one-seventh of what air weighs under identical conditions. The balloon has a diameter of 10 m and carries two people, each weighing 70 kg. Assume the density of air is 1.16 kg/m3 and neglect the weight of the ropes and cage. Determine:
(a) The acceleration of the balloon when it is first released
This is how I've been doing it
F= 1.16/7 * 9.81 * 523.6 = 852.7 - Buoyancy equation
Then i got the weight by doing
W= 140 * 9.81 = 1373.4
First of all I am not sure if these are right and if they were I've been taking away the buoyancy force from the weight to get 520.7
Then to get accleration i divided it by the mass 140
to get 3.72
But the answer giving said its 16.465
Can anyone please tell me where I am going wrong thanks
And weirdly there's a secound question that's says find the maximum load that it can carry and the answer is 520.61 which is very close to my answer
Cheers
A balloon is filled with helium gas which weighs approximately one-seventh of what air weighs under identical conditions. The balloon has a diameter of 10 m and carries two people, each weighing 70 kg. Assume the density of air is 1.16 kg/m3 and neglect the weight of the ropes and cage. Determine:
(a) The acceleration of the balloon when it is first released
This is how I've been doing it
F= 1.16/7 * 9.81 * 523.6 = 852.7 - Buoyancy equation
Then i got the weight by doing
W= 140 * 9.81 = 1373.4
First of all I am not sure if these are right and if they were I've been taking away the buoyancy force from the weight to get 520.7
Then to get accleration i divided it by the mass 140
to get 3.72
But the answer giving said its 16.465
Can anyone please tell me where I am going wrong thanks
And weirdly there's a secound question that's says find the maximum load that it can carry and the answer is 520.61 which is very close to my answer
Cheers