# Calc

posted by .

Consider a circle of radius 2 and a point P rotating around it. The angle θ, in radians, is given as a function of time t.
(a) What is the value of θ when t=1.5?
(b) Find the coordinates of P when t=1.5

• Calc -

You did not say what sort of a function so I must leave it general.

Theta = f(1.5)

x = 2 cos (f(1.5))
y = 2 sin (f(1.5))

## Similar Questions

1. ### physics

The angular position of a point on the rim of a 45.8 cm rotating wheel is given by θ(t) = 3.6 t2 − 2.8 t +7.5, where θ is measured in radians and t is measured in seconds. What is the instantaneous speed v of the point …
2. ### Calculus

Consider a circle of radius 5 and a point P rotating around it, as shown in the figure to the left, below. The angle(theta) , in radians, is given as a function of time t, by the graph in the second figure. What is the value of when …
3. ### trigonometry

1)find the exact value indicated trigonometric function of θ, if θ is the angle is standard position whose terminal side contains the given point. (-2 ,√2); Find cos θ 2) find the length of the arc intercepted …
4. ### Precalculus

The figure shows part of a curve traced by a point on the circumference of a circle of radius 4 that rotates, without slipping, around a fixed circle of radius 2. The rotating circle starts with angle t = 0 radians and the point P …
5. ### Trigonometry

Please show me the work so i understand 2. Find the reference angle of -11π/3. 5. If θ = –18°, find the exact value of θ in radians. 6.If θ = 3, find the value of θ in degrees correct to the nearest …
6. ### trigonometry

please help me to solve this problem: calculate the angular velocity of a point for the given number of revolutions and time. express the answer on in radians per minute. 1.θ=1/2;t=2min. 2.θ=1/4;t=5min. 3.θ=2/3;t=10min. …
7. ### MATHSS

The angle of a rotating shaft turns in t seconds is given by theta= ω+1/2at^2 and it is given that ω=3 2 rad/s and α=0.6 rad/s to complete θ=4 radians. Determine the time taken to complete θ=4 radians.
8. ### Maths help

The angle of a rotating shaft turns in t seconds is given by theta= ω+1/2at^2 and it is given that ω=3 2 rad/s and α=0.6 rad/s to complete θ=4 radians. Determine the time taken to complete θ=4 radians.
9. ### Physics

The angle of a rotating shaft turns in t seconds is given by theta= ω+1/2at^2 and it is given that ω=3 rad/s and α=0.6 rad/s to complete θ=4 radians. Determine the time taken to complete θ=4 radians.
10. ### precalculus

the following is a point not on a unit circle. θ → (-5,4) use it to find: 1. cos θ = -5 2. csc θ = 1/4 am i correct?

More Similar Questions