Suppose you take the candle and find that is fits perfectly on top of the water

Question

Suppose you take the candle and find that is fits perfectly on top of the water in the right arm of a U-tube, containing water and mercury. What must be the height, h, of the water so that the total pressure in the orange gas bulb is 2.06 times 10^5 Pa? A 50.0 kg child sits on the rim of a round merry-go-round of average radius, r = 2.00m, rotating counterclockwise (sky view) with an angular speed of 8.0 revolutions/minute. a. Determine the "magnitude" and "direction" of the child's angular speed, omega, in rad/s? (Draw an arrow on the sky view picture to show the direction.) b. Determine the child's centripetal acceleration?

Explanation / Answer

Q2. (a) Angular velocity = 8 revolution per minute
1 = revolution = 2*pi rad = 2*3.141 rad

1 min = 60 sec

8 revolution per minute = 8*2*3.141/60 = 0.838 rad/s

magnitude = 0.838 rad/s, direction = r X V = direction of child's head (Upward)

b) centripetal acceleration = w2R = 0.8382*2

= 1.40 rad/s2

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.