temperature variation question
The temperature θ2 of a winding
which is being heated electrically at time t is given
by: θ2=θ1(1−e−tτ ) where θ1 is the temperature (in
degrees Celsius) at time t =0 and τ is a constant.
Calculate,
(a) θ1, correct to the nearest degree, when θ2 is
50◦C, t is 30s and τ is 60s
(b) the time t , correct to 1 decimal place, for θ2 to
be half the value of θ1.