help with trig graph question need help NOW!!!

[gaunt echo]

when a pendulum 0.5 m long swings back and forth, its angular displacement theta from the rest position, in radians, is given by theta(t) = 1/4sin(pi/2(t)). where t the the time in seconds. at what time(s) during the first 4s is the pendulum displaced 1cm vertically above its rest position? (assume the rest position at t=0)

[autumn tartan]

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[kind stag]

so you know nothing on how to start this problem?

[gaunt echo]

no please i need help

i drew a graph but it didnt help

the period of the sin graph is 4

[kind stag]

could you send it?

[gaunt echo]

yes

[kind stag]

and just to make sure, we are dealing with $\theta(t)=\frac{1}{4}\sin(\frac{\pi}{2}t)$, right?

or is the t on top?

[gaunt echo]

t on top

[kind stag]

okay

[storm onyx]

dark matter

[kind stag]

perfect.

so yes, the period is 4

what else can we note?

[gaunt echo]

the max is 0.25 and the min is -0.25???

[kind stag]

yes

hmm.

we would have to make a function in x(theta) to determine the angle at which it is 0.1 cm above the rest position.

any thoughts?

[gaunt echo]

why 0.1cm? it says displaced 1cm vertically above its rest position

are you converting to meters if so it would be 0.01m

[kind stag]

oops.

misread, sorry.

[gaunt echo]

its ok

[kind stag]

so the pendulum is at its rest position for t=2k seconds where k is an integer

but we only consider t<=4 so at t=0,2,4

and at t=0 the angle of the pendulum is 0

the problem is where the rest position is relative to.

i would assume at the minimum.

so for t=0 the pendulum is at the minimal position

is this a good assumption?

[gaunt echo]

i dont understand what u mean

[flat saddle]

He's saying initially the pendulum would be where the ball attached by a dotted line would be

[kind stag]

my phone is crashing

aaaaaaa

[gaunt echo]

oh

i need to use a sin graph to solve this not those pendulum diagrams thingies and i was never taught how to use them

so on a test i cant use them

[honest marlin]

@gaunt echo

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[gaunt echo]

+close

[honest marlin]

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