Part 2:
a) You are investigating the electrical testing circuits and find that, in an inductive circuit, the
relationship between instantaneous current i (amps) and the time t (secs) is given by: $i = 5.2(1 - e^{-9t})$
You have been asked to determine the time taken, t, for the current, i, to change from 1 to A
amps.
b) The distance travelled by a flying UAV can be shown as, x in the following equation. Use the laws
of logarithms to solve the equation for the distance travelled: $2^{x+1} = 3A^{x-5}$
c) The drive system of a conveyor used to transport the engine parts is made up of an open belt
which passes over two pulleys. The pulleys have diameters of 200mm and 320mm respectively
and the distance between centres is B mm.
You have been asked to determine the length of the belt, using trigonometric techniques,
assuming the belt is in tension. (note that you can have a single line as a tangent to two circles of
different diameters but only at a different location on each circle).
d) A cable is to be suspended across two machines. The machines are a distance L metres apart. The
cable forms the shape of a catenary of the form $y = c \cosh(x/c)$ where $x = L/2$. You have been
asked to determine the fixing point height (y) if the minimum clearance (c) is to be 3m at the
centre of the catenary.
