Suppose that B is an a flying swear that is spinning about its geometric center.

Question

Suppose that B is an a flying swear that is spinning about its geometric center. B is at edge of the which has a radius of 100 m. The velocity of B, as measured in a background inertial frame of reference is 72 km/(see figure). B views A at this instant. A is at the edge of an identical flying saucer. The distance between A and B is 30 m at this instant. A has a velocity of 72 km/hr uparrow at this instant, as measured in the inertial frame. Show that the velocity of A as measured by B is 46 m/s uparrow Find the acceleration of A as measured by B.

Explanation / Answer

solving 1st part

Considering linear motion

Velocity of A as seen by B =(72+72)=144 km/hr =40 m/s

now B will also see some angular velocity component

angular velocity =v/r=20/100=1/5 radian per second

velocity due to this angular velocity=30*1/5=6 m/s

net velocity seen by B=40+6=46 m/s

(b) there is no tangential acceleration

radial acceleration of A=v^2/r=400/100=4 m/s^2

radial accleration of B=4 m/s^2

acceleration due to rotation=36/100=0.36

net acceleration as seen by B =8.36 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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