The velocity of sound in air is given by the equation v=20r273+t where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the velocity when the temperature is 117ºC. Round to the nearest meter/sec.
A. 20 meters per second

B. 330 meters per second

C. 395 meters per second

D. 216 meters per second

Question

The velocity of sound in air is given by the equation v=20r273+t  where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the velocity when the temperature is 117ºC.  Round to the nearest meter/sec. 
 A. 20 meters per second  
 
 B. 330 meters per second  
 
 C. 395 meters per second  
 
 D. 216 meters per second

ganpat · Answer

what r in between of equation ??

anonymous · Answer

square root

ganpat · Answer

assuming it ok.. So Velocity = $$20 * \sqrt{273} + t = 20 * \sqrt{273} + 117 = $$

= 330.45 +117

it comes out to be 447 m/s...

turingtest · Answer

@chadandtricia_2009  better to write
v=20sqrt(273)+t
it makes it more clear for us to read, and the parentheses make it clear where the root ends
thanks

turingtest · Answer

because I'm not sure whether you mean
v=20sqrt(273)+t
or
v=20sqrt(273+t)

see the problem?

anonymous · Answer

ok sorry. can you help me with this one please?

turingtest · Answer

well which is it? first or second one?

anonymous · Answer

second

turingtest · Answer

put the temperature given, 117, where the t is in your equation
then use a calculator

anonymous · Answer

273+117=390

anonymous · Answer

20sqrt390

turingtest · Answer

yup

anonymous · Answer

so then what do I do?

turingtest · Answer

again, please use parentheses
20sqrt(390)
it's just easier on the eyes
now? simplify if possible, which I don't think it is
to see if it can be simplified find the prime factorization of the number under the radical, 390

anonymous · Answer

no it can't. I think the answer is c. 395

turingtest · Answer

yes :)

anonymous · Answer

thanks

anonymous · Answer

395 is my answer