Question

A rat travel on circular path of radius 7 with a velocity 11 metre per second find the displacement of rat after 10 second​

Answer 1

Answer:

Time taken to cover one rotation is 2 s.

Angular Displacement in one rotation is 2π

Therefore Angular Displacement in 4 s is (i.e two rotations) is 4π

Therefore average angular velocity:

ω

=

Δt

Δθ = 44π

= π rads

−1

Explanation:

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Answer 2

Explanation:

Cos(x).cos(y).dy + sin(x).sin(y) dx = 0

⇒ cos(x).cos(y).dy = - sin(x).sin(y) dx

⇒ cos(y)/sin(y) dy = -sin(x).cos(x).dx

By taking integration both side,

⇒ ∫cos(y)/sin(y) dy = -∫sin(x).cos(x).dx

⇒ ∫cot(y) dy = -∫tan(x).dx

⇒ ln|siny| = - (-ln|cos(x)| +c)

⇒ ln|sin(y)| = ln|cos(x)| + ln|C|

⇒ ln|sin(y)| = ln|C.cos(x)| ∵ ln(a) +ln(b) = ln(ab)

⇒ sin(y) = C.cos(x)