windchill temp

Question

a) T=10o C,V=9m/sec

 

b)T=0o C,V=15m/sec

 

c)T=10o C,V =20 m/sec

 

  d) The formula to find the wind chill temperature is given by:

                   10.45+ 10V-square root sign-V)x(33-T)

  W=33                and this is over 22

Answer 1

The windchill index equation contains V and T.  So for a, b, and c, you just plug in the V and T values and solve the equation.

 

I'm not sure what d) is asking for, but if W=33 and it's over 22, then (33-T) = 22, which means T = 11.  If you use the equation and substitute 33 for W and 11 for T, you should be able to solve for V.

 

You will get:

 

v - 10(sqrt(v) - 8.95=0  While this doesn't seem easy to solve, it is if you let x=sqrt(v).  Then you end up with a quadratic equation: x ² - 10x - 8.95 = 0 and you can use the quadratic equation to solve it.  

 

~Lynne