I have a worksheet with answers missing. The questions are simple uniform motion in a circle ones but I would like to run through two of them here and just have you more experienced folks confirm my answers, if you wouldn't mind.

**Question 1**
Find the speed of a particle of dust, 5cm from the center of a disc which is revolving at 45rpm. Also find the acceleration of the particle. Answers to 2 decimal places.

*Answer:*
For the speed of the particle

For the acceleration of the particle

**Question 2**
A particle P of mass 20 grams is connected by a taut inextensible string of length 2m to a fixed point O of a smooth horizontal table on which the particle rests. The string will break if the tension exceeds 7.84N. Calculate the greatest possible speed at which P can describe a circle of 2m about O.

*Answer:*
For a maximum string tension of 7.84N

For the speed

Thanks!