Answered: Using MATLAB, find the time at which…

Engineering

Mechanical Engineering

Using MATLAB, find the time at which the temperature of the ball bearing equals 600°C, 300°C, and 50°C

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter11: Calibrating Instruments

Section: Chapter Questions

Problem 4RQ: Temperature-measuring instruments may be designed to measure the temperature of vapors, ________,...

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Question

The temperature of the ball as a function of time, T(t) in the
bath may be estimated by this equation:
T(t) = (Ti – T∞)e^–t/τ + T ∞
where t is the time in seconds in the bath; Ti is the initial ball temperature;
T∞ is the oil temperature; and τ is the time constant in seconds that
depends upon the material of the ball, the geometry of the ball, and oil
properties. Assume that the initial ball temperature = 800°C, the oil temperature = 40°C, and the time constant = 50 seconds.

Using MATLAB, find the time at which the temperature of the ball bearing equals 600°C, 300°C, and 50°C

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