A bicycle with 0.80-m-diameter tires is coasting on a level road at 5.6 m/s. A s

Cynthia Bell 2021-12-16 Answered

A bicycle with 0.80-m-diameter tires is coasting on a level road at 5.6 m/s. A small blue dot has been painted on the tread of the rear tire. a. What is the angular speed of the tires? b. What is the speed of the blue dot when it is 0.80 m above the road? c. What is the speed of the blue dot when it is 0.40 m above the road?

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Melinda McCombs
Answered 2021-12-17 Author has 38 answers

Given values:
2r=0.8m
r=0.4m
x1=0.8m
υcm=5.6ms
a) We will find the angular speed as:
ω=υcmr
ω=5.6ms0.40m
ω=14rads
The angular velocity of a point at height x1 will be the sum of the line velocity and the velocity of the center of mass of the wheel.
υ=υcm+rω
υ=5.6ms+0.4m14rads
υ=11.2ms
Using the Pythagorean theorem, we have:
υ2=(rω)2+υcm2
υ=(rω)2+υcm2
υ=(0.4m14rads)2+(5.6ms)2
υ=7.9195ms
a) ω=14rads
b) υ=11.2ms
c) υ=7.9195ms

We have step-by-step solutions for your answer!

Jim Hunt
Answered 2021-12-18 Author has 45 answers

(1) Angular speed =5.60.4=14radianssec, where 0.4m is the radius of the wheel.
Since 2n radians is one revolution, 14radianss is 142π=2.23revss or 133.7 rpm.
(2) We have to add the tangential speed to the translational speed. The direction is important so we should consider velocity rather than the speed because the tangential velocity is changing but the translational velocity stays the same. At 0.80m the blue dot is at its highest point and the tangential velocity is in the direction of motion=14×0.4=5.6ms. So the speed of the blue dot is 5.6+5.6=11.2ms.
(3) The blue dot is 0.4m above the road in two different places. The tangential velocity is vertically upwards or vertically downwards, for the trailing or leading edge of the wheel respectively. The resultant velocity is at an angle of 45° to the road and has a magnitude (speed) of 5.62=7.92ms. This magnitude applies equally to both endpoints of the horizontal diameter. The direction for each velocity is different.

We have step-by-step solutions for your answer!

Don Sumner
Answered 2021-12-27 Author has 35 answers

a) d = diameter of tire = 0.80 m
r= radius of tire = (0.5) d = (0.5) (0.80) = 0.40 m
v = speed of bicycle = 5.6 m/s
w = angular speed of the tire
Speed of cycle is given as
v=rw
5.6=(0.40)w
w=14 rad/s
b) 
V= speed of blue dotask
Speed blue of dot is given as
v=v+rw
v=5.6+(0.40)(14)
v=11.2 m/s
C. here angle b/w both the vectors will be 90 degrees, 
R=[v2+(rw)2]0.5
R=[25.62]0.5
R=7.92 m/sec

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-11-05

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a 30 angle, with the vertical.
image
a) Determine the ball speed.
b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?
c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

asked 2021-02-24

If the coefficient of static friction between your coffeecup and the horizontal dashboard of your car is, how fast can you drive on a horizontal roadwayaround a right turn radius of 30.0 m before the cup starts toslide? If you go too fast, in what direction will the cupslide relative to the dashboard?

asked 2021-01-17

A golfer hits a golf ball at an angle of 25 degrees to the ground. If the golf ball covers a horizontal distance of 301. 5 m, what is the ball's maximum height? (Hint: at the top of its flight, the ball's vertical velocity component will be zero.)

asked 2020-11-01

A rifle with a weight of 30 N fires a 5.0 g bullet with a speed of 300m/s. (a) Find the recoil speed of the rifle. (b) If a700 N man holds the rilfe firmly against his shoulder, find there coil speed of the man and his rifle.

asked 2022-04-12
Gravitational pull vs. acceleration due to gravity
It might seem obvious but i can't imagine how is gravitational pull is different from acceleration due to gravity?
asked 2020-11-09

A 7.0- g bullet is fired into a 1.5- kg ballistic pendulum.The bullet emerges from the block with a speed of 200 m/s, and theblock rises to a maximum height of 12 cm. Find the initial speed ofthe bullet.

asked 2021-12-20

A550-N physics student stands on a bathroom scale in an elevator that is supported by a cable. The combined mass of student plus elevator is 850 kg. As the elevator starts moving, the scale reads 450 N. 
(a) Find the acceleration of the elevator (magnitude and direction). 
(b) What is the acceleration if the scale reads 670 N? 
(c) If the scale reads zero, should the student worry? Explain. 
(d) What is the tension in the cable in parts (a) and (с)?

New questions