The ratio R at which paint can be sprayed from a spray gun may be expressed as R=a.t and R is measured in m3 / s and time is measured in seconds, what are the units of "a"?
THE LAST COULE OF COATS I WILL ADD ALITTLE WATER LITTLE WATER
IWILL ADD VERY LITTLE WATER ON THE LAST COUBLE OF COATS
To determine the units of "a" in the given equation R = a.t, we will look at the units on both sides of the equation.
On the left-hand side (LHS) of the equation, R is measured in m^3/s (cubic meters per second), as mentioned.
On the right-hand side (RHS) of the equation, we have a multiplied by t. Since "a" represents a constant, its units will need to cancel out with the units of time (t) for the equation to be dimensionally consistent.
To cancel out seconds (s) on the RHS, "a" needs to have units of cubic meters per second (m^3/s) divided by seconds (s) to obtain units of cubic meters per second per second (m^3/s^2). This is because if we multiply a by t (in seconds), the seconds in the denominator will cancel out, leaving us with the units on the LHS of the equation (m^3/s).
Therefore, the units of "a" are cubic meters per second per second (m^3/s^2).