Question

True Distance ($X_i$) $\frac{5 \times 10^{-5}}{1 + s}$ Displacement Sensor $\frac{500}{1 + 20s}$ Amplifier $\frac{40}{(1 + \frac{1}{50}s)^2}$ Recorder Measured Distance ($X_m$)

Name: True Distance (Xi) (5 × 10^-5)/(1 + s) Displacement Sensor (500)/(1 + 20s) Amplifier (40)/((1 + (1)/(50)s)^2) Recorder Measured Distance (Xm)
Uploaded: 2023-07-22T02:06:16-08:00
Duration: 1 min 51 s
Channel: Adi S
Description: True Distance (Xi) (5 × 10^-5)/(1 + s) Displacement Sensor (500)/(1 + 20s) Amplifier (40)/((1 + (1)/(50)s)^2) Recorder Measured Distance (Xm)

          True Distance ($X_i$) \(\frac{5 \times 10^{-5}}{1 + s}\) Displacement Sensor \(\frac{500}{1 + 20s}\) Amplifier \(\frac{40}{(1 + \frac{1}{50}s)^2}\) Recorder Measured Distance ($X_m$)

Added by Kristy G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/22/2023

Step 1

Step 1: The input signal is given as Xi(t) = 21 sin (10t) cm. Show more…

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The block transfer function as shown in figure P-04 is an example of Displacement measurement system. Let the input be a sinusoid signal Xi(t) = 21 sin (10t) cm. The output is given by (in the fig)a. Determine expression for the time response of measured displacement, XM (t) b. Determine the expresssion of time response of dynamic error, E(t)! c. Calculate the Displacement Error when t = 0, and 1s? True Measured Distance (XM) DistanceX 40 1 5x10-5 1+s 500 1+20s Displacement Sensor Amplifier Recorder