Question

# Part 1

a)For any problem involving n dimensional quantities with dimensions involving mass, length, and

time, the Pi Thoerem predicts the existence of n−3 dimensionless quantities. True or False?

b)An appropriate choice of units for the velocity of a nuthatch climbing a tree trunk is km per hour. True or False?

c)The dimensions of *derived* quantities are products of powers of the dimensions of *fundamental* quantites. True or False?

d)In a problem with 6 dimensional quantities having dimensions involving only length and time, the dimensional matrix will be a 6×2 matrix.

e)In converting the population model dp/dt=rp−K, where p(t) = population, t = time, r= growth rate, K = some constant, to dimensionless variables z=(r/K)*p

and τ=rt, the derivative dp/dt becomes K*(dz/dτ)

.

I thought the a-d are true but not sure.

#### Top Answer

a) theoremstates that an equation involving n number of physical variables which are expressible in terms of k... View the full answer