Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. neglect the mass of the axle and sprocket. if a force of 20 n is applied tangentially to a sprocket of radius 4 cm for 4 seconds, what linear speed does the wheel achieve, assuming it rolls without slipping?

a) 3 m/s
b) 24 m/s
c) 5.9 m/s
d) 7.1 m/s

To solve the problem it is necessary to apply the Torque equations and their respective definitions.

The Torque is defined as,

Where,

I=Inertial Moment

Angular acceleration

Also Torque with linear equation is defined as,

Where,

F = Force

d= distance

Our dates are given as,

R = 30 cm = 0.3m

m = 1.5 kg

F = 20 N

r = 4.0 cm = 0.04 m

t = 4.0s

Therefore matching two equation we have that,

For a wheel the moment inertia is defined as,

I= mR2, replacing we have

Then the velocity of the wheel is

Therefore the correct answer is D.

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation:

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