Q and A for the topic: General

A 4.5m tall tree casts a shadow 6m long. Find the angle of elevation of the sun at that time

Use unit multipiers to convert 5000 meters per hour or feet per second

 Suppose you have to use a hammer in your hand on a wall with a screw of mass 9300 g. The hammer is 18 cm long. Calculate the torque of the screw?

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 A cylinder makes six turns in 2 seconds, calculate: a) its angular velocity in rad/s; b) its period and c) its frequency.

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 A 73,000 g Ferris wheel accelerates from rest to an angular speed of 6.2 rad/s in 2 minutes. Considering the wheel as a hollow circular disk of radius 200 cm, calculate the net force on it?

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 A cylindrical piece of material 12 in in diameter is rotated on a lathe at 1300 rev/min. What is the tangential velocity at the surface of the cylinder? Value 4 points

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 A pulley in a well with a diameter of 1200 cm initially rotates at 1.3 rev/s and then receives a constant angular acceleration of 3.12 rad/s2 . What is the tangential velocity of a belt mounted on said pulley? After 1 second, what is the tangential acceleration of the belt?

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Why do we use multiplication when dividing fractions. I know how to do the steps, but why do you keep the first number, changed to multiplication, and then write the reciprocal of the fraction. I guess I just don’t understand why we switched to multiplication. Thank you.

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Prove the trig identity: Sec^2x-Sin^2xSec^2x=1

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Prove the trig identity: 1+Sec^2x/Sec^2x = 1 + cos^2x

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Prove the trig identity: Cos x/1-sinx - Cos x/1+sin x = 2tan x

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Prove the trig identity: 1+cos x/sin x = csc x + cot x

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Prove the trig identity: (1-cos θ)(1+cos θ)= 1/csc^2 θ

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Prove the trig identity: Sec θ - Cos θ/Sec θ = Sin^2 θ