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Introduction to Mechatronics
Introduction to Mechatronics
46 SOLVED PROBLEMS
Question: 8.3
Suppose a strain gauge has resistance R = 120 Ω, gauge factor G = 2.1. When a shunt resistance Rs = 100 kΩ is connected across the gauge, what is the equivalent strain? ...
Verified Answer:
When a shunt resistance is connected, Equivalent r...
Question: 7.7
Calculate normal electrostatic force exerted on a 1 mm × 1 mm plate of εr = 1.0 for air dielectric and ε0 = 8.85 pF/m or 8.85 × 10^–12 C²/N m² for material. ...
Verified Answer:
Width of the plate = 1 mm Length of the plate = 1 ...
Question: 8.5
Assume the width and thickness of a beam to be 10 μm and 50 μm, respectively. The beam is made of silicon with Young’s modulus, 19000 MPa, and 10 mg weight is attached to the lever. Determine the equivalent spring constant and natural frequency of the beam element in a micro-accelerometer. ...
Verified Answer:
Referring to Fig. 8.12, the moment of inertia of t...
Question: 8.4
Calculate the force required (in newton) to accelerate a body of mass 2 kg to 5 m/sec². ...
Verified Answer:
According to Newton’s law of motion, Force = mass ...
Question: 8.2
What is the probable error at any point of the scale for a one-percent-accuracy indicator of range 1000°C? If the lower scale starts from 200°C, what is the range of the instrument What is the percentage of error when the indicator reads 700°C? ...
Verified Answer:
Accuracy in percentage =
\frac{\text{true v...
Question: 8.1
A simple pressure-time function consists of two harmonics terms as F = 100sin 80t + 50 cos (160t – π/4). Analyse the relationship of harmonics. ...
Verified Answer:
An inspection of the equation shows that the circu...
Question: 7.6
A differential cylinder is on one side of the piston area A = 10 cm² and the annular piston surface area on other side is Ap = 5 cm². The stroke length s is 10 cm. The pump delivers 10 L/min and the maximum pressure is 100 bar. Determine the speed of advance (pitch) and return stroke. Determine ...
Verified Answer:
Velocity during advance =
\frac{Q}{A} =\fra...
Question: 7.5
Ingredients are fed continuously to a paint-drying furnace by a conveyor. To minimize heat loss through the furnace door, it should be opened only for the duration of time necessary to allow the ingredients to pass through. The hydraulic circuit should be designed so that the door can be safely ...
Verified Answer:
Install a de-lockable non-return valve into the su...
Question: 7.4
A stepper motor is to be used to drive a linear axis of a mechatronic system. The motor output shaft is connected to a screw thread with a 30 mm pitch. It is desired to control each axis at 0.5 mm. What is the corresponding step angle? ...
Verified Answer:
Pitch of the screw thread, p = 30 mm Linear resolu...
Question: 7.3
A motor has torque constant Kt = 100 Nm A and voltage constant of 12 V(/kilo revolution/min). The armature resistance is 2 Ω. If 24 V voltage is applied to the terminal, what would be (a) the torque at the rotor (b) speed at zero load, and (c) torque at 100 revolution/min. Plot the result as a ...
Verified Answer:
At zero RPM, the back emf developed
V_B = 0...
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