physics
posted by toshi .
For no apparent reason, a poodle is running counterclockwise at a constant speed of 3.40 {\rm m/s} in a circle with radius 2.2 {\rm m}. Let \vec v_1 be the velocity vector at time t_1, and let \vec v_2 be the velocity vector at time t_2. Consider \Delta \vec v = \vec v_2 \vec v_1 and \Delta t = t_2  t_1. Recall that \vec a_{\rm av} = \Delta \vec v/ \Delta t.

Similar problem done for Jimmy, note different numbers for speed and radius:
geometry if a = 0 at t = 0
angle from x axis (call it a) = v t/r
Vx = v sin a
Vy = v cos a
at start a = 0 so
V1x = 0
V1y = v
at time t
V2x = v sin(vt/r)
V2y = v cos(vt/r)
call change d
d Vx = v sin(vt/r)
d Vy = v[cos(vt/r)1]
ax = (v/t) sin(vt/r)
ay = (v/t)[cos(vt/r)1]
so for our numbers
v/t = 5.4/.7 = 7.714
vt/r = 1.643 about 94 degrees, quadrant2
ax = 7.714 sin(1.643) = 7.694
ay= 7.714[cos(1.643)1] = 8.270
A =SQRT(ax^2+ay^2) = 11.30 m/s^2
compare to v^2/r
v^2/r = 5.4^2/2.3 = 12.7 not too far off centripetal acceleration
Respond to this Question
Similar Questions

Physics
Consider three force vectors ~ F1, ~ F2, and ~ F3. The vector ~ F1 has magnitude F1 = 86 N and direction θ1 = 169◦; the vector ~ F2 has magni tude F2 = 46 N and direction θ2 = 240◦; and the vector ~ F3 has magnitude … 
College Physics
Vector A points in the negative y direction and has a magnitude of 6 units. Vector B has twice the magnitude and points in the positive x direction. Find the direction and magnitude of vec AB and Vec BA? 
Physics
For no apparent reason, a poodle is running at a constant speed of 5.80 m/s in a circle with radius 2.3 m. For t_delta = 0.5 s calculate the magnitude of the average acceleration a_av. I have no idea how to start this problem because … 
physics
Vector {\bf{\vec V}}_1 is 6.3 units long and points along the negative x axis. Vector {\bf{\vec V}}_2 is 8.5 units long and points at 30^\circ to the positive x axis. 
physics
Vector {\bf{\vec V}}_1 is 6.3 units long and points along the negative x axis. Vector {\bf{\vec V}}_2 is 8.5 units long and points at 30^\circ to the positive x axis. 
physics
For no apparent reason, a poodle is running counterclockwise at a constant speed of 5.40 m/s in a circle with radius 2.3 m. Let v_1 be the velocity vector at time t_1, and let v_2 be the velocity vector at time t_2. Consider change … 
Physics
For no apparent reason, a poodle is running counterclockwise at a constant speed of 3.00 m/s in a circle with radius 2.9. Let v_1 be the velocity vector at time t_1, and let v_2 be the velocity vector at time t_2. Consider \Delta … 
physics
Two charges Q 1 =500/mu(C) and Q 2 =100/mu(C) are located on the XY plane at the positions r1=3/vec(j)m and r2=4/vec(i)m. Find the force exerted on the Q2(a)14.4/vec(i)+10.8/vec(j)(b)14.4/vec(i)10.8/vec(j)N(c)10.8/vec(i)14.4/vec(j)N(d)10.8/vec(i)+14.4/vec(j)N 
physics
Vector A ⃗ {\rm \vec A} points in the negative x x direction. Vector B ⃗ {\rm \vec B} points at an angle of 35.0 ∘ ^\circ above the positive x x axis. Vector C ⃗ {\rm \vec C} has a magnitude of 19m m and points … 
physics
Consider two vectors where F1 = 98 N , F2 = 61N,θ1 = 343◦ ,andθ2 = 68◦ ,measuredfrom the positive x axis with the counterclockwise angular direction as positive. What is the magnitude of the resultant vec tor …