1) Roland has built a circuit, and is using a device called an ammeter to measure how quickly electrical current is flowing thro
1 answer:
Answer:
1) 3.9 %
2) 1,38 kg
3) 0.13 cubic meters
Explanation:
Part 1)
Calculated current = 0.180 amps
Measured current: 0.173 amps
percent error : %
Part 2)
mass1 = 1,155 kg
mass2 = 0.22 kg
Addition; 1.155 + 0.22 = 1 375 kg which should be rounded to just two decimals according to the addition rules for uncertainties:
Answer : 1,38 kg
Part 3)
Volume = 0.885 x 0.20 x 0.75 cubic meters = 0.13275 cubic meters
Notice that the smallest number of significant figures among the set of dimension given is two. Therefore, our answer should be rounded to two significant figures. That is:
Volume = 0.13 cubic meters
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Answer:
The maximum shear stress in shaft AB, is 15 MPa
The maximum shear stress in shaft CD, is 45.9 MPa
Explanation:
The formula for a shaft polar moment of inertia, J is given by
J =
Therefore, we have
Where:
D = Diameter of shaft AB = 30 mm = 0.03 m
r = Radius of shaft AB = 15 mm = 0.015 m
∴ = 7.95 × 10⁻⁸ m⁴
and
Where:
D = Diameter of shaft CD = 36 mm = 0.036 m
r = Radius of shaft CD = 18 mm = 0.018 m
Therefore,
= 1.65 × 10⁻⁷ m⁴
Given that the shaft AB and CD are rotated 1.58 ° relative to each other, we have;
1.58 °= rad = 2.76 × 10⁻² rad.
That is = 2.76 × 10⁻² rad.
However
Where:
and
and
= Torque on shaft AB and CD respectively
= Required
= 500 N·m
and
= Length of shafts AB an CD respectively
= 600 mm = 0.6 m
= 900 mm = 0.9 m
G = Shear modulus of the material = 77.2 GPa
Therefore;
=
2.76 × 10⁻² rad =
=
Therefore;
T = 79.54 N.m
Where T = + T
=
Therefore T = 500 - 79.54 = 420.46 N·m
τ =
=
=
= 15 MPa
=
=
= 45.9 MPa