The front wheel on an ancient bicycle ha...

The front wheel on an ancient bicycle has radius 0.5 m. It moves with angular velocity given by the function `omega(t) =2 +4t^2`, where t is in seconds. About how far does the bicycle move between t =2 and t =3 seconds ?

36 m

27 m

21 m

14 m

Text Solution

AI Generated Solution

Topper's Solved these Questions

System of particles & rotational Motion
SL ARORA|Exercise EXERCISE|353 Videos
ROTATIONAL MOTION
SL ARORA|Exercise Problem for self practice|90 Videos
Thermal Properties of Matter
SL ARORA|Exercise Exercise|449 Videos

Similar Questions

Explore conceptually related problems

The angular displacement of a particle is given by theta = t^3 + 2t +1 , where t is time in seconds. Its angular acceleration at t=2s is

The velocity of an object moving rectillinearly is given as a functiion of time by v=4t-3t^(2) where v is in m/s and t is in seconds. The average velociy if particle between t=0 to t=2 seconds is

Power applied to a particle varies with time as P=(4t^(3)-5t+2) watt, where t is in second. Find the change its K.F. between time t = 2 and t = 4 sec.

A particle moves in a circle of radius 20 cm Its linear speed is given by upsilon = 2 t where t is in second and upsilon in metre/second Find the radial and tangential acceleration at t = 3 s .

A car is moving in such a ways that the distance it covers , is given by the equations s = 4t^(2) +3t, where s, is in meters and t is in seconds . What would be the velocity and the accelerations of the car at time t=20 seconds?

A particle moves in a circle of radius 20 cm. Its linear speed is given by v = (3t^(2) +5t) where t is in second and v is in m/s. Find the resultant acceleration at t = 1s.

The angular displacement of a particle is given by theta = t^4 +t^3 +t^2 +1 where ‘t’ is time in seconds. Its angular velocity after 2 sec is

A particle moves in a circle of radius 20 cm . Its linear speed is given by v = 2t where t is in seconds and v in m s^-1 . Then

The position (in meters) of a particle moving on the x-axis is given by: x=2+9t +3t^(2) -t^(3) , where t is time in seconds . The distance travelled by the particle between t= 1s and t= 4s is m.

SL ARORA-System of particles & rotational Motion-EXERCISE

The motor of an engine is rotating about its axis with an angular ...
Text Solution
|
Angular acceleration alpha of a body is given by the relation a = 4at^...
Text Solution
|
The front wheel on an ancient bicycle has radius 0.5 m. It moves with ...
Text Solution
|
A ring of radius R is first rotated with an angular velocity omega and...
Text Solution
|
Which one is a vector quantity?
Text Solution
|
If force vector is along X-axis and radius vector is along Y-axis then...
Text Solution
|
Find the torque of a force vecF= -3hati+hatj+5hatk acting at the poin...
Text Solution
|
If force acts on a body, whose line of action does not pass through it...
Text Solution
|
Can the couple acting on a rigid body produce translatory motion ?
Text Solution
|
In order to balance a see-saw of total length 10.0m, two kids weighing...
Text Solution
|
a uniform beam, of length L and mass m = 1.8 kg, is at rest on two sca...
Text Solution
|
An automobile engine develops 100 kW when rotating at a speed of 1800 ...
Text Solution
|
Angular momentum is
Text Solution
|
Which is a vector quantity
Text Solution
|
Dimensions of angular momentum are
Text Solution
|
Joule-second is the unit of
Text Solution
|
Under a constant torque, the angular momentum of a body changes from A...
Text Solution
|
A particle of mass m is rotating in a plane in circular path of radius...
Text Solution
|
A stationary uniform rod of mass 'm', length 'l' leans against a smoo...
Text Solution
|
The torque vec tau on a body about a given point is found to be equal ...
Text Solution
|