Need help find magnitude and angle displacement please

AI Thread Summary
The problem involves a wheel with a radius of 45 cm that travels without slipping, completing half a revolution. The angle of displacement for point P, which moves from the bottom to the top of the wheel, is 180 degrees. The magnitude of the displacement is not the diameter but rather half the circumference, calculated as 90 cm. The center of the wheel moves straight ahead, resulting in a displacement vector angle of 0 degrees. Visualizing the positions of point P at both times can clarify the displacement and angle.
Darkhrse99
Messages
9
Reaction score
0

Homework Statement


A wheel with a radius of 45cm travels along a horizontal floor without slipping. At time T-1 the dot P painted on the rim is at the point of contact between the wheel and the floor.At the later time T-2 the wheel has gone through one half of a revolution. What are the magnitude an angle(relative to the floor) of the displacement of P?


The Attempt at a Solution



I believe the angle is 180* and the magnitude is 90cm. A half revolution is 180* and 2times 45cm is 90cm. Is this correct?


Thanks
Jason
 
Last edited:
Physics news on Phys.org
Magnitude and angle of displacement of what? The center of the wheel has moved straight ahead. The angle of its displacement vector is 0. And it will have moved forward a distance equal to half the circumference of the wheel, not the diameter. Do you see why?
 
HallsofIvy said:
Magnitude and angle of displacement of what? The center of the wheel has moved straight ahead. The angle of its displacement vector is 0. And it will have moved forward a distance equal to half the circumference of the wheel, not the diameter. Do you see why?

The magnitude and displacement of P At t-0, P is at the bottom and t-2 P is at the top. Sorry I left that out of the question.
 
Draw a picture of the wheel at t-1 and at t-2 on the same axis. Then connect the two points and figure out the displacement+angle.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Torque, Angular Displacement, Work
Replies
6
Views
4K
Magnitude and angle of the displacement vector
Replies
6
Views
7K
Projectile motion above ground given only angle and height
Replies
3
Views
2K
Angle of Displacement of Rod Hit by Bullet in Time
Replies
1
Views
2K
How to calculate angular speed?
Replies
7
Views
3K
Finding Angle: Horizontal Water Projection at 12m - Help Needed
Replies
15
Views
1K
Determining the height of an angled projectile after 10m
Replies
1
Views
2K
Calculate Magnitude & Angle of Clock's Vector Displacement
Replies
1
Views
4K
Archived Please help with these two projectile motion problems, thanks
Replies
2
Views
2K
Solve for Angle in 2D Projectile Motion Problem | Neglecting Air Resistance
Replies
13
Views
2K

Hot Threads

Recent Insights

Back
Top