posted 10 months ago

D = 0.48, 0.47, 0.49, 0.48, 0.50, 0.45

a) The percentage uncertainty in the length (1)

The range in measurements of D

b) The mean value of D (in m)

) The absolute uncertainty in D (in m)

The percentage uncertainty in D

O The volume of the metal tube using the formula below. State your answer to 2 decimal places.

) The percentage uncertainty in V

-) The absolute uncertainty in V

posted 10 months ago

posted 10 months ago

posted 10 months ago

posted 10 months ago

D = 0.48, 0.47, 0.49, 0.48, 0.50, 0.45

a) The percentage uncertainty in the length (I)

b) The mean value of D (in m)

c) The range in measurements of D

d) The absolute uncertainty in D (in m)

e) The percentage uncertainty in D(2 marks)

V=\frac{\pi D^{2} l}{4}

f) The volume of the metal tube using the formula below. State your answer to 2decimal places.(2 marks)

g) The percentage uncertainty in V

h) The absolute uncertainty in V

posted 10 months ago

posted 1 years ago

Equation (Q4) below describes the input (f(t)) and output (x(t)) function obtained from Newton's law:

f(t)=m \frac{d^{2} x}{d t^{2}}+d \frac{d x}{d t}+k \cdot x(t)

where k = 1kN/m, d = 20N s/m, m= kg

(a) With the given input/output and Equation (Q4), calculate the transfer function.Denote this transfer function as G(s).

(b) Calculate the poles of this system and assess its stability.

(c) Calculate the impulse response of this system. Show details of your calculation.

(d) Calculate the step response for the sampling points given in Table Q4. Show details of calculation.

posted 1 years ago

(a) Corresponding transfer function H(s).

(b) Corresponding approximate Phase Bode plot.

posted 1 years ago

\text { 1. Derive an expression for the time of flight of the projectile in terms of } v_{n} \gamma \text { and } \theta \text {. }

\text { 2. Derive an expression for the range } \mathrm{R} \text { along the inclined surface in terms of } v, \gamma \text { and } \theta \text {. }

3. Derive an expression for the maximum range Rmax änd the corresponding angle ofprojection.

4. Derive an expression for maximum hight (Hmax) as shown in the figure.

5. Support your answers in (3) and (4) by numerical values.

posted 1 years ago