tanker spills oil at 150 gal/min. find rate radius is increa

[buddhika_s]

Hey I guys,

I'm new here and I really need to get this done by tommorow.

An Oil tanker has an accident and oil pours out at the rate of 150 gallons per minute. Suppose that the oil spreads onto the water in a circle at a thickness of .1 inches. Given that 1ft^2 = 7.5 gallons, dtermine the rate at which the radius of the spill is increasing when the radius reaches 500ft.

Please someone help me with this. I have done similar problems but I don't know what formulas to use in this problem. At least I hope some one will be able to tell me what formulas to use. I think I have to use C=2pi(r) as one but the other I don't know.

thanks in advance.

 

[Deleted member 4993]

Re: I really need to solve this before my class tommorow! please

An Oil tanker has an accident and oil pours out at the rate of 150 gallons per minute. Suppose that the oil spreads onto the water in a circle at a thickness of .1 inches. Given that 1ft^2 = 7.5 gallons, dtermine the rate at which the radius of the spill is increasing when the radius reaches 500ft.

The critical formula you need to use is:

Volume of a disk = ? * r^2 * t

where

r = radius of the disk

t = thickness of the disk.

The volume of the disk is changing with time at a constant rate - because more oil is being poured in.

The radius of the disk is changing with time - rate of which is what you need to find

The thickness of the disk is constant = 0.1"

Now continue....(be careful with units)