An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.270 rev/s . the magnitude of the angular acceleration is 0.895 rev/s^2 . both the the angular velocity and angular accleration are directed clockwise. the electric ceiling fan blades form a circle of diameter 0.790 m .
1. compute the fan's angular velocity magnitude after time 0.194s has passed. (rev/s)
2. through how many revolutions has the blade turned in the time interval 0.194s from part a? (rev)
3. what is the tangential speed vtan(t) of a point on the tip of the blade at time t = 0.194s ? (m/s)
4. what is the magnitude a of the resultant acceleration of a point on the tip of the blade at time t = 0.194s ? (m/s^2)

Given information is summarized as below:

1)Using first equation of kinematics for angular motion we have

2) Using second equation of kinematics for angular motion we have

3) The tangential speed is given as

4)

The resultant acceleration is given by

i am single too don't feel bad

most voltage drop calculators want the distance between the source and destination. then internally, they double it so both the source and return wires are calculated. but you need to know which distance the calculator uses so you're not half of what you should be or double what you should be.

most circuit breakers will not take a #6 directly, so the electrician will have to splice on a smaller pigtail. you also have to upsize the grounding wire when you upsized the ungrounded (hot) wire (see note in 250.122). this will preclude using most cable assemblies, as a cable with #6 copper will most likely only have a #10 grounding conductor. you need a #6 grounding conductor if the circuit is 20a. a #8 cable is no better, as it will have a #10 grounding conductor too. but most 20a breakers will take a #8 directly.

in your related post, you didn't say what type of load this is. if it is a light or heater, voltage drop won't be a big issue. if this is a motor, the current needs are huge at startup and the voltage drop can pose a problem. if this is a motor, knowing if the motor is under much load during startup will answer the voltage drop effect (a saw is easier to start than a compressor).