Explanation:
ω = 30 rev × (2π rad/rev) / (6 sec)
ω = 10π rad/s
ω ≈ 31.4 rad/s
This is what i found.
Gold<span> is a </span>noble<span> element because "in chemistry, the </span>noble<span>metals are metals that are resistant to corrosion and oxidation in moist air (unlike most base metals)."</span>
The answers are as follows;
a) the inductive reactance is 322 ohm
b) The maximum voltage is 387.5 V
c) The rms and maximum currents in the inductor are 1.2 A and 0.85 A.
<h3>What is the reactance?</h3>
The reactance is obtained from;
XL = 2πfL
XL = 2 * 3.14 * 57.0 * 0.900
XL = 322 ohm
The maximum voltage is obtained as;
Vo = Vrms * √2
Vo = 274 V * √2
Vo = 387.5 V
Io = Vo/XL
Io = 387.5 V/ 322 ohm
Io = 1.2 A
Irms = 274 V/322 ohm
Irms = 0.85 A
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To solve this problem it is necessary to apply the kinematic equations of motion for speed and distance, as well as the concepts related to kinetic energy.
The change in the height of a body subject to gravity is given by

Where
h = Height
g =Gravity
t = time
Replacing with our values we have that the time is



From speed as a function of change between acceleration and time we have then that after 2.6 seconds the speed would be



The kinetic energy would be given by



Therefore the kinetic energy after 2.6s is 1070.16J