If a pendulum makes 10 oscillations in 5 seconds, what is its oscillation frequency?

Explanation:

We know that,

"Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second."

According to Question,

⇒ 5 seconds = 10 oscillations

⇒ 1 second = 10/5 oscillations

⇒ 1 second = 2 oscillations

In one second, there are 2 oscillations or cycles. The unit of frequency is Hertz. Hence, the frequency is 2 Hertz.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west