Answer:
The answer is below
Explanation:
Given that:
ρ = 800 kg/m3, c = 600 J/kg-K, k = 40 W/m-K, Initial temperature = Ti = 1150,
Environment temperature = T = 450 K, Final temperature = T∞ = 325 K
Diameter = 10 mm = 0.01 m, A = 6
The estimated time for cooling process (t) is given as:

The estimated cooling time is 589 s
Answer:
The answer of this question is 19.89142857
Answer:
the required diameter of the rod is 9.77 mm
Explanation:
Given:
Length = 1.5 m
Tension(P) = 3 kN = 3 × 10³ N
Maximum allowable stress(S) = 40 MPa = 40 × 10⁶ Pa
E = 70 GPa = 70 × 10⁹ Pa
δ = 1 mm = 1 × 10⁻³ m
The required diameter(d) = ?
a) for stress
The stress equation is given by:
A is the area = πd²/4 = (3.14 × d²)/4





Substituting the values, we get



d = (9.77 × 10⁻³) m
d = 9.77 mm
b) for deformation
δ = (P×L) / (A×E)
A = (P×L) / (E×δ) = (3000 × 1.5) / (1 × 10⁻³ × 70 × 10⁹) = 0.000063
d² = (4 × A) / π = (0.000063 × 4) / 3.14
d² = 0.0000819
d = 9.05 × 10⁻³ m = 9.05 mm
We use the larger value of diameter = 9.77 mm
Answer:
(i) 3.5385 ohm, 3.768 ohm (ii) 39.89 A (III) 4773.857 W (vi) 348 var (vii) 0.9973 (viii) 4.1796°
Explanation:
We have given voltage V =120 volt
Frequency f=60 Hz
Resistance R =3 ohm
Inductance L =0.01 H
Capacitance C =0.00075 farad
(i) reactance of of inductor 

(ii) Total impedance 
Current 
(viii) power factor 
(VII) 

So power factor angle is 4.1796°
(iii) Apparent power 
(vi) Reactive power