The disk has an angular acceleration ?-9 rad/s2 and angular velocity w 2 rad/s a

Question

The disk has an angular acceleration ?-9 rad/s2 and angular velocity w 2 rad/s at the instant shown. It does not slip at A. (Figure 1) Part A Determine the magnitude of the acceleration of point B Express your answer to three significant figures and include the appropriate units IA aValue Units Submit Request Answer gure 1 of 1 Part B Determine the direction of the acceleration of point E. Express your answer using three significant figures 45° 0.5 m vec 54.7 o, measured clockwise from the negative r-axis

Explanation / Answer

here,

alpha = 9 rad/s^2

the tangential accelration , at = alpha * r * ( cos(45) i + sin(45) j)

at = 3.2 i m/s^2 + 3.2 j m/s^2

ac = w^2 * r * ( - cos(45) i + sin(45) j)

ac = 2^2 * 0.5 * ( - cos(45) i + sin(45) j)

ac = - 1.44 i + 1.44 j m/s^2

an = at + ac

an = 1.76 i + 4.64 j m/s^2

a)

the magnitude of accelration , a = sqrt(ac^2 + at^2)

a = ( 1.76^2 + 4.64^2) m/s^2

a = 4.96 m/s^2

b)

the direction of accelration , theta = arctan(4.64/1.76)

theta = 69.2 degree counterclockwise from +x axis

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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