To convert between Celsius and Fahrenheit, use the formula \( °F = \frac{9}{5} (°C) + 32 \).
You can calculate the point where both scales meet by setting them equal to each other.
The relationship between Celsius and Fahrenheit is given by the formula: \[ °F = \frac{9}{5} (°C) + 32 \] For °C = °F, we substitute into the formula: \[ ° = \frac{9}{5} (°) + 32 \] Solving this, we get the answer \( ° = -40 \).
Conclusion:
The temperature at which Celsius is equal to Fahrenheit is -40°.
Given the process transfer function \[ G_P = \frac{20}{s - 2}, \] and controller transfer function \[ G_C = K_C, \] and assuming the transfer function of all other elements in the control loop are unity, what is the range of \( K_C \) for which the closed-loop response will be stable?
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.