Sunday

September 21, 2014

September 21, 2014

Posted by **linda** on Tuesday, November 29, 2011 at 4:52pm.

a) determine the angular velocity

b) how far the tire has travelled?

c) what is the speed in km/h?

- Math- Trig please help! -
**Reiny**, Tuesday, November 29, 2011 at 5:08pma) angular velocity = 20(2π)/3 radians per second

= 40π/3 rad/sec

b) one rotation = (2π)(50) cm = 100π cm

so 20 rotations would cover 20(100π) or 2000π cm

c) assuming you mean linear speed

speed = distance / time = 2000π/3 cm/sec

= (2000π/3)(3600)/(100000) km/h

= 24π km/h

( there are 100000cm in 1 km, and 3600 seconds in 1 hour)

- Math- Trig please help! -
**Steve**, Tuesday, November 29, 2011 at 5:09pmangular velocity is radians/sec

20rev/3sec = 20/3 rev/sec = 40pi/3 rad/sec

Assuming that the tire rolls without slipping, it has gone 20*2pi*100 = 4000pi cm

4000pi cm/3sec = 4188.8cm/sec * 3600sec/hr * 1km/100000cm = 150.8km/hr

- Math- oops -
**Steve**, Tuesday, November 29, 2011 at 5:11pmMy bad. I missed where it said diameter, not radius.

Reiny has it right.

- Math- Trig please help! -
**linda**, Tuesday, November 29, 2011 at 6:34pmthank you!

- Math- Trig please help! -
**lol**, Tuesday, November 29, 2011 at 10:48pmmori?

**Answer this Question**

**Related Questions**

pre cal - If an 22-inch tire rotates 40 times per 2 minute, determine th elinear...

pre cal - if a 22 inch tire rotates 40 times per 2 minutes, determine the linear...

physics - A car tire rotates with an average angular speed of 29rad/s. In what ...

5th grade Math - I need help with the question below. A bicyle tire has a ...

Math - If the diameter of a monster truck tire is 3.5 m and it makes one ...

math(trig) - 1) A 6-ft propeller turns at 1200 revolutions per minute. Compare ...

geometry - A bicycle tire has a diameter of 60cm and rotates 33.3 revolutions ...

PhYsIcS - RoTaTiOnAl MoTiOn - A tire (0.8 m diameter) starts at rest and has an ...

Grade 11 math - HELP! - The diameter of a car's tire is 52 cm. While the car is ...

Math - A tire shop that sells only one size of tire, .75 metres in diameter, ...