SOLUTION: A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 4
Algebra.Com
Question 151280: A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 48in. at time t = 0; Determine an equation that models the volume v of the balloon at time t, and find the volume v of the balloon at time t, and find the volume when t = 300 sec
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03in./sec and that r = 48in. at time t = 0; Determine an equation that models the volume v of the balloon at time t, and find the volume v of the balloon at time t, and find the volume when t = 300 sec
:
Volume of a sphere: V =
:
Volume when the balloon is launched (t=0):
V =
V = 463,246.7 cu inches
:
The equation for this problem: t = time in seconds
V =
:
For t = 300
V =
V =
V =
V = 775,734.6 cu inches after 300 sec
RELATED QUESTIONS
At constant temperature, the atmospheric pressure p (in Pa) at an altitude h (in m) is... (answered by KMST)
A spherical balloons is released from rest and expands as it rises After rising for t... (answered by greenestamps)
A weather balloon rises 150 meters the first minute after it is released. Each minute, it (answered by amoresroy)
Weather balloons are filled with hydrogen and released at various sites to measure and... (answered by Alan3354)
Section 5.3 #96.
Atmospheric Pressure The atmospheric pressure p on a balloon or plane... (answered by stanbon)
Weather balloons are filled with hydrogen and released at various sites to measure and... (answered by ikleyn)
Hopefully - this is my last question! I'm a little confused on this one, probably because (answered by scott8148)
The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, (answered by ankor@dixie-net.com)
The equation P(a) = 14.7e^(-0.2a), where a is the altitude above sea level in miles,... (answered by harpazo)