Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

plz solve these questions What is a transfer function? What is a first order transfer function? For a motor actuating a spinning disk with moment

plz solve these questions

image text in transcribed

What is a transfer function? What is a first order transfer function? For a motor actuating a spinning disk with moment of inertia J and viscous friction D, Newton's laws give the following ordinary differential equation (ODE): Jx(t) + Dx(t) = k_m u(t) where x is the angular velocity of the disk, u is the motor torque, and k_m is the motor constant. (a) Assuming that the output y is the angular velocity of the disk, derive the transfer function Y (s)/U(s). (b) A general form of a first order transfer function is given below: Y(s)/U(s) = K/Ts + 1 where K is the steady-state gain, and tau is the time constant, which is the time it takes to reach 1-1/e of the final value (about 63%). Using your answer from part (a.), find K and tau in terms of J, D, km

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Genomes And Databases On The Internet A Practical Guide To Functions And Applications

Authors: Paul Rangel

1st Edition

189848631X, 978-1898486312

More Books

Students also viewed these Databases questions