What is the magnitude/direction of the E field?

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The discussion focuses on calculating the magnitude and direction of the electric field (E) acting on a pendulum bob with a mass of 0.005 kg and a charge of -8.0 µC. The pendulum has a length of 1.0 m and a period of 1.2 s, which are crucial for determining the forces involved. The equation ∑Fy = qE - mg = ma is used to relate the electric force to gravitational force and acceleration. The user is currently attempting to derive an equation for acceleration to solve for the electric field E. The conversation emphasizes the need for a clear understanding of the forces acting on the pendulum in the electric field.
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Homework Statement


A bob of mass 0.005kg is attached to a pendulum and has a charge of -8.0 uC. The pendulum is 1.0m long and has a periods of 1.2 s when it's puts it in a vertical uniform electric field E. What are the magnitude and direction of E?

Homework Equations


∑Fy = qE - mg = ma

q is charge
E is electric field
m is mass
g is gravity
a is acceleration
L is length
T is period

The Attempt at a Solution


I set up a FBD and this is what I have so far.
 
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At this point I'm trying to find an equation for acceleration so I can solve for E.
 
Show what you've done.
 

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