Complete Question
The diagram of with this question is shown on the first uploaded image
Answer:
The value is 
Explanation:
From the question we are told that
The mass of the rock is 
The length of the string is 
The angle the string makes horizontal is 
The angle which the projection of the string onto the xy -plane makes with the positive x-axis is 
The angular velocity of the rock is 
Generally the radius of the circle made by the length of the string is mathematically represented as

=> 
=> 
Generally the resultant tangential velocity is mathematically represented as

=> 
=> 
Generally the tangential velocity along the x-axis is

=> 
=> 
The negative sign show that the velocity is directed toward the negative x-axis
Generally the tangential velocity along the y-axis is

=> 
=> 
Generally the tangential velocity along the y-axis is

=> 
Generally the tangential velocity at that instant is mathematically represented as

Answer:
7*10^(-11) m.
Explanation:
the details are in the attached picture (the answer is marked with red).
Answer:
1.274 H
Explanation:
using
V = XLI...................Equation 1
Where V = voltage, XL = Inductive reactance, I = current.
Make XL the subject of the equation
XL = V/I.............. Equation 2
Given: V = 6.00 V, I = 3.00 mA = 0.003 A
Substitute into equation 2
XL = 6/0.003
XL = 2000 Ω
But,
XL = 2πFL............... Equation 3
Where F = Frequency, L = inductance.
Make L the subject of the equation
L = XL/(2πF).............. Equation 4
Given: F = 250 Hz, XL = 2000 Ω
Constant: π = 3.14
L = 2000/(2×3.14×250)
L = 2000/1570
L = 1.274 H.