The following displacement (cm), output (V) data have been recorded during a calibration of an LVDT. Displacement (cm), output (
V): 0.00 cm, 0.20 V; 0.125 cm, 0.60 V; 0.500 cm, 1.32 V; 0.769 cm, 1.95V; 1.019 cm; 2.33 V. Calculate the sensitivity of the LVDT expressed in (V/mm). (Please express your answer in V/mm and round up the answer to two (2) significant decimal digits.)
1 answer:
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(a) V(A/B) = (14 i - 17.32 J) m/s
(b) acc(A/B) = ( 5.11 i + 5.13 j ) m/s²
<u>Explanation:</u>
We will solve with respect to Cartesian vector form.
So,
V(A)= (24i) m/s
acc(A) = (4i) m/s²
There are two components of Car B, cos 60⁰ and sin 60⁰
V(B) = 20 cos 60° i + 20 sin 60° j
V(B) = (10 i + 17.32 j ) m/s
The car B moves along a curve, so it will have a tangential acceleration and a normal acceleration.
The tangential acceleration, a(t) = 5 m/s²
Normal acceleration, a(n) =
So,
For the tangential acceleration, the acceleration is slowing down. So,
a(t) = (-5 cos 60° i - 5 sin 60° j ) m/s²
a(t) = ( -2.5 i - 4.33 j) m/s²
For normal acceleration, it towards center. So,
a(n) = (1.6 sin 60° i - 1.6 cos 60° j) m/s²
a(n) = (1.39 i - 0.8 j ) m/s²
Total acceleration of Car B:
acc(B) = a(t) + a(n)
acc(B) = ( -2.5 i - 4.33 j) m/s² + (1.39 i - 0.8 j ) m/s²
acc(B) = (-1.11i - 5.13 j ) m/s²
(a) V(A/B) = ?
V(A) = V(B) + V(A/B)
(24i) m/s = (10 i + 17.32 j ) m/s + V(A/B)
V(A/B) = (14 i - 17.32 J) m/s
(b) acc(A/B) = ?
acc(A) = acc(B) + acc(A/B)
(4i) m/s² = (-1.11i - 5.13 j ) m/s² + acc(A/B)
acc(A/B) = ( 5.11 i + 5.13 j ) m/s²
Answer:
Explanation:
Obtain the following properties at 6MPa and 600°C from the table "Superheated water".
Obtain the following properties at 10kPa from the table "saturated water"
Calculate the enthalpy at exit of the turbine using the energy balance equation.
Since, the process is isentropic process
Use the isentropic relations:
Calculate the enthalpy at isentropic state 2s.
a.)
Calculate the isentropic turbine efficiency.
b.)
Find the quality of the water at state 2
since at 10KPa <
<
at 10KPa
Therefore, state 2 is in two-phase region.
Calculate the entropy at state 2.
Calculate the rate of entropy production.
since, Q = 0