A uniform solid sphere has a moment of inertia I about an axis tangent to its surface. What is the moment of inertia of this sphere about an axis through its center

2I/7

Explanation:

Formula for moment of inertia through the centre of mass of a solid sphere is given as; I_sc = (2/5) mR²

Now, from parallel axis theorem, moment of inertia of solid sphere from tangent is given as;

I = (2/5) m R² + m R²

I = (7/5) mR²

Thus,mR² = 5I/7

Putting 5I/7 for mR² in first equation, we have;

I_sc = (2/5) × 5I/7

I_sc = 2I/7

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

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